## Get step-by-step solutions to your math problems

## Try Math Solver

## Get step-by-step explanations

## Graph your math problems

## Practice, practice, practice

## Get math help in your language

## Equation Solver

What do you want to calculate.

## Example (Click to try)

How to solve your equation, solving equations video lessons.

Need more problem types? Try MathPapa Algebra Calculator

## Math Equation Solver | Order of Operations

## Calculator Use

- 5^(2/3) is 5 raised to the 2/3
- 5r(1/4) is the 1/4 root of 5 which is the same as 5 raised to the 4th power

## Entering fractions

## Math Order of Operations - PEMDAS, BEDMAS, BODMAS, GEMDAS, MDAS

- Parentheses, Brackets, Grouping - working left to right in the equation, find and solve expressions in parentheses first; if you have nested parentheses then work from the innermost to outermost
- Exponents and Roots - working left to right in the equation, calculate all exponential and root expressions second
- Multiplication and Division - next, solve both multiplication AND division expressions as they occur, working left to right in the equation. For the MDAS rule, you'll start with this step.
- Addition and Subtraction - next, solve both addition AND subtraction expressions as they occur, working left to right in the equation

## PEMDAS Caution

A way to remember this could be to write PEMDAS as PE(MD)(AS) or BEDMAS as BE(DM)(AS).

## Order of Operations Acronyms

BODMAS stands for " B rackets, O rder, D ivision and M ultiplication, A ddition and S ubtraction"

## Operator Associativity

Examples of left-associativity:

Exponents and roots or radicals are right-associative and are solved from right to left.

Examples of right-associativity:

## Adding, Subtracting, Multiplying and Dividing Positive and Negative Numbers

This calculator follows standard rules to solve equations.

## Rules for Addition Operations (+)

If signs are the same then keep the sign and add the numbers.

## Rules for Subtraction Operations (-)

## Rules for Multiplication Operations (* or ×)

## Rules for Division Operations (/ or ÷)

Cite this content, page or calculator as:

- For a new problem, you will need to begin a new live expert session.
- You can contact support with any questions regarding your current subscription.
- You will be able to enter math problems once our session is over.
- I am only able to help with one math problem per session. Which problem would you like to work on?
- Does that make sense?
- I am currently working on this problem.
- Are you still there?
- It appears we may have a connection issue. I will end the session - please reconnect if you still need assistance.
- Let me take a look...
- Can you please send an image of the problem you are seeing in your book or homework?
- If you click on "Tap to view steps..." you will see the steps are now numbered. Which step # do you have a question on?
- Please make sure you are in the correct subject. To change subjects, please exit out of this live expert session and select the appropriate subject from the menu located in the upper left corner of the Mathway screen.
- What are you trying to do with this input?
- While we cover a very wide range of problems, we are currently unable to assist with this specific problem. I spoke with my team and we will make note of this for future training. Is there a different problem you would like further assistance with?
- Mathway currently does not support this subject. We are more than happy to answer any math specific question you may have about this problem.
- Mathway currently does not support Ask an Expert Live in Chemistry. If this is what you were looking for, please contact support.
- Mathway currently only computes linear regressions.
- We are here to assist you with your math questions. You will need to get assistance from your school if you are having problems entering the answers into your online assignment.
- Phone support is available Monday-Friday, 9:00AM-10:00PM ET. You may speak with a member of our customer support team by calling 1-800-876-1799.
- Have a great day!
- Hope that helps!
- You're welcome!
- Per our terms of use, Mathway's live experts will not knowingly provide solutions to students while they are taking a test or quiz.

Please ensure that your password is at least 8 characters and contains each of the following:

## Solve algebraic expressions step by step

## Simplifying Expressions

Solve equations and simplify expressions.

450+ Math Lessons written by Math Professors and Teachers

5 Million+ Students Helped Each Year

1200+ Articles Written by Math Educators and Enthusiasts

Simplifying and Teaching Math for Over 23 Years

## Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.

## 10 Math Equations That Have Never Been Solved

By Kathleen Cantor, 10 Sep 2020

## 1. The Riemann Hypothesis

Equation: σ (n) ≤ Hn +ln (Hn)eHn

- Where n is a positive integer
- Hn is the n-th harmonic number
- σ(n) is the sum of the positive integers divisible by n

## 2. The Collatz Conjecture

## 3. The Erdős-Strauss Conjecture

## 4. Equation Four

Equation: Use 2(2∧127)-1 – 1 to prove or disprove if it’s a prime number or not?

Looks pretty straight forward, does it? Here is a little context on the problem.

## 5. Goldbach's Conjecture

Equation: Prove that x + y = n

## 6. Equation Six

Equation: Prove that (K)n = JK1N(q)JO1N(q)

- Where O = unknot (we are dealing with knot theory )
- (K)n = Kashaev's invariant of K for any K or knot
- JK1N(q) of K is equal to N- colored Jones polynomial
- We also have the volume of conjecture as (EQ3)
- Here vol(K) = hyperbolic volume

## 7. The Whitehead Conjecture

## 8. Equation Eight

## 9. The Euler-Mascheroni Constant

Equation: y=limn→∞(∑m=1n1m−log(n))

## 10. Equation Ten

## Related posts:

- Finding Integers in Algebraic Equations Integers include any whole number found on a number line. They also include any negative number that falls...
- Factoring Polynomials in Algebraic Equations A polynomial is a mathematical expression containing variables in which the operators in the expression...
- Friday Math movie: 10 Equations That Changed The World Here's a 3-minute summary of 10 mathematical equations that "changed the world"....
- Solving Equations With The Addition Method There are two ways of solving an equation: the addition method and the substitution method....
- Ways to Train Your Brain To Calculate Large Equations Mathematics has helped humans perform basic tasks since its inception. It helps us with finances,...

Posted in Mathematics category - 10 Sep 2020 [ Permalink ]

## 11 Comments on “10 Math Equations That Have Never Been Solved”

Maybe only, if you know meaning of this three symbols up writen and connected together.

8.539728478 is the answer to number 10

8.539728478 is the answer to number 10 or 8.539734221

The sum of π and e is equal to π + e = 3.14159 + 2.71828 = 5.85987.

In conclusion, the sum of π and e is equal to 5.85987, which is an algebraic number.

n = 5 3n + 1 = 3(5) + 1 = 16 n = 16/2 = 8 n = 8/2 = 4 n = 4/2 = 2 n = 2/2 = 1 n = 1/2 = 0.5

If n is equal to 4, the sequence of values will be: n = 4 3n + 1 = 3(4) + 1 = 13 n = 13/2 = 6.5

n = 6 3n + 1 = 3(6) + 1 = 19 n = 19/2 = 9.5

If n is equal to 4, the sequence of values will be:

n = 4 3n + 1 = 3(4) + 1 = 13 n = 13/2 = 6.5

n = 9 3n + 1 = 3(9) + 1 = 28 n = 28/2 = 14 n = 14/2 = 7 n = 7/2 = 3.5

n = 3 3n + 1 = 3(3) + 1 = 10 n = 10/2 = 5 n = 5/2 = 2.5

n = 2 3n + 1 = 3(2) + 1 = 7 n = 7/2 = 3.5

As we can see, the sequence of values becomes repetitive

σ(5) ≤ H5 + ln(H5)eH5 15 ≤ 2.28 + 0.83 * 2.28^2.28 15 ≤ 4.39

Since 15 is less than or equal to 4.39, the equation holds true for this specific value of n.

Now we can use the fact that n, a, b, and c are positive integers to make some observations:

4abc = 4 * 1 * 1 * 2 * 3 * 5 = 120

Some possible factorizations are:

## Leave a comment

* E-Mail (required - will not be published)

Your blog URL (can be left blank)

Notify me of followup comments via e-mail

## Comment Preview

HTML: You can use simple tags like <b>, <a href="...">, etc.

To enter math , you can can either:

- Use simple calculator-like input in the following format (surround your math in backticks, or qq on tablet or phone): `a^2 = sqrt(b^2 + c^2)` (See more on ASCIIMath syntax ); or
- Use simple LaTeX in the following format. Surround your math with \( and \) . \( \int g dx = \sqrt{\frac{a}{b}} \) (This is standard simple LaTeX.)

NOTE: You can mix both types of math entry in your comment.

- Ten Ways to Survive the Math Blues
- How to understand math formulas
- How to learn math formulas
- How to make math class interesting?
- SquareCirclez Sitemap
- Mathematics (369)
- Intmath Newsletters (180)
- Learning mathematics (164)
- Math movies (162)
- Learning (general) (119)
- Environmental math (66)
- General (53)
- Computers & Internet (40)
- Math Supplies (23)
- Contact (1)
- Exam Guides (1)

## Most Commented

- Is 0 a Natural Number? (161)
- How do you find exact values for the sine of all angles? (102)
- How to understand math formulas (84)
- How to find the equation of a quadratic function from its graph (82)
- New measure of obesity - body adiposity index (BAI) (73)

## Recent Trackbacks

(External blogs linking to IntMath)

- What’s the Best? - Interactive Mathematics : Reviewing Six Online Math Tutoring Services
- Interactive Mathematics : The Best Calculators for Geometry
- Interactive Mathematics : Best Graphing Calculators for Students

## SquareCirclez is a "Top 100" Math Blog

- blog sitemap
- Mathematics
- Intmath Newsletters
- Learning mathematics
- Math movies
- Learning (general)
- Environmental math
- Computers & Internet
- Math Supplies
- Exam Guides
- IntMath home
- IntMath forum

- Basic Math Calculator
- Pre-Algebra Calculator
- Algebra Calculator
- Trigonometry Calculator
- Precalculus Calculator
- Calculus Calculator
- Statistics Calculator

## Equation Solver

## How to Solve an Equation

## Example of an Equations

Solving equations is a fundamental part of mathematics.

## Different Types of Equations and How to Solve Them

## Piecewise Functions and How They Can Help With Solving Different Types of Equations

Piecewise functions are functions that can be broken down into pieces and graphed separately.

## Types of Questions Asked on the ACT & SAT Math Subject Tests (keyword topics for this blog post include quadratic equations, coordinate plane graphs etc.)

Questions on the ACT Math Subject Test:

– What is the area of a triangle with base 3 and height 5?

– What is the sum of two numbers whose product is -312?

– If x = -3/5, what does y equal?

Questions on the SAT Math Subject Test:

– What number should replace this “?” in order to make this equation true? ?x + 4 = 12 ?

– Find an equation for a line that passes through point (2,-1) and has slope -1/2.

## Free solve math problems

## Disciplines

## Pre-Algebra

## Trigonometry

## Precalculus

## Finite Math

## Linear Algebra

## How to solve math problems?

## Get in touch

## Equation Calculator

Solve linear, quadratic, biquadratic. absolute and radical equations, step-by-step.

- One-Step Addition
- One-Step Subtraction
- One-Step Multiplication
- One-Step Division
- One-Step Decimals
- Two-Step Integers
- Two-Step Add/Subtract
- Two-Step Multiply/Divide
- Two-Step Fractions
- Two-Step Decimals
- Multi-Step Integers
- Multi-Step with Parentheses
- Multi-Step Rational
- Multi-Step Fractions
- Multi-Step Decimals
- Solve by Factoring
- Completing the Square
- Quadratic Formula
- Biquadratic
- Logarithmic
- Exponential
- Rational Roots
- Floor/Ceiling
- Equation Given Roots New
- Substitution
- Elimination
- Cramer's Rule
- Gaussian Elimination
- System of Inequalities
- Perfect Squares
- Difference of Squares
- Difference of Cubes
- Sum of Cubes
- Polynomials
- Distributive Property
- FOIL method
- Perfect Cubes
- Binomial Expansion
- Logarithmic Form
- Absolute Value
- Partial Fractions
- Is Polynomial
- Leading Coefficient
- Leading Term
- Standard Form
- Complete the Square
- Synthetic Division
- Rationalize Denominator
- Rationalize Numerator
- Interval Notation New
- Pi (Product) Notation New
- Induction New
- Boolean Algebra
- Truth Table
- Mutual Exclusive
- Cardinality
- Caretesian Product
- Age Problems
- Distance Problems
- Cost Problems
- Investment Problems
- Number Problems
- Percent Problems

## Most Used Actions

## Frequently Asked Questions (FAQ)

What is the completing square method.

## What is the golden rule for solving equations?

## How do you simplify equations?

## How do you solve linear equations?

## Related Symbolab blog posts

Message received. Thanks for the feedback.

## Generating PDF...

## How to solve linear equations in three variables?

## Answered question

Beginner 2023-02-26 Added 6 answers

Do you have a similar question?

Recalculate according to your conditions!

Ask your question. Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?

- High School Questions
- College Questions
- Math Solver
- Top Questions
- Top Questions 2
- Term of Service
- Payment Policy

Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus

2023 Plainmath. All rights reserved

Get answers within minutes and finish your homework faster

Dont have an account? Register

Create a free account to see answers

Already have an account? Sign in

Solve math equations with Math Assistant in OneNote

## Step 1: Enter your equation

Learn more: Create your equation using ink or text.

## Step 2: Solve your equation

To solve the current equation, do any of the following:

Learn more: check the Supported Equations tab of this page.

Generate a practice quiz to keep practicing this type of equation.

Tip: You can drag the solution steps to any place on your page.

Create math equations using ink or text with Math Assistant in OneNote

Problem types supported by Math Assistant

Draw graphs of math functions with Math Assistant in OneNote

Next, from the Draw tab, select Math . This will open the Math Assistant pane.

Create your equation using ink or text.

Based on your equation, options for actions will be provided. Select your desired action.

Your equation and the solution will be displayed in the Math pane.

Tip: Select Insert math on page to transfer your results to the OneNote page you are working on.

Learn more: Check the Supported Equations tab of this page.

## Step 3: Learn from Math Assistant

Steps for various methods are provided based on your equation.

Turn Math Assistant on or off in OneNote Class Notebook

## Problem Types Supported by Math Assistant

Create a Math quiz in Microsoft Forms

Generate a practice math quiz with Math Assistant in OneNote

## Need more help?

## Get new features first

## Was this information helpful?

## Mortgage calculator with extra payments excel

## Amortization Schedule with Extra Payments

If you need a quick answer, ask a librarian!

Math understanding that gets you

If you want to improve your math skills, the best way is to practice as often as possible.

Math can be tough, but with a little practice, anyone can master it!

Get math help online by chatting with a tutor or watching a video lesson.

## Microsoft Excel Mortgage Calculator with Amortization Schedule

## Hero xtreme sports emi calculator

In addition, Hero xtreme sports emi calculator can also help you to check your homework.

## Hero Xtreme Sports (Rear Disc) Loan EMI Calculator

## Hero Xtreme 200S Loan

Track Way is a great place to go for a run.

Math can be tough, but with a little practice, anyone can master it!

Get detailed step-by-step explanations

## Hero Xtreme Sports EMI Calculator

## Select your language

## Fundamentals Of Differential Equations And Boundary Value Problems

Just sign up for free and you're in.

## Short Answer

In problems 33-40, solve the equation given in problem 1. 2 t x d x + ( t 2 - x 2 ) d t = 0.

## Step by Step Solution

dx dt = - t 2 - x 2 2 tx dx dt = x 2 t - t 2 x

localid="1663928794004" v = x t x = vt dx dt = v + t dv dt

Substitute x t = v the dx dt = v + t dv dt and in the equation (1),

Cross multiplication on both sides in the above equation,

t dv dt = - 1 + v 2 2 v 2 v 1 + v 2 dv = - dt t

## Integrating

Taking integration both sides in the above equation

ln 1 + v 2 = - ln t + ln C ln 1 + v 2 + ln t = ln C 1 + v 2 t = C

## Finding the solution

Substitute the v = x t in the above equation,

t 2 + x 2 t t 2 = C x 2 + t 2 = C t x 2 + t 2 - C t = 0

Also note that is t=0 a solution

Hence the solution x 2 + t 2 - C t = 0 is and t ≡ 0

## Most popular questions for Math Textbooks

x ≡ 0 In problems 33-40, Solve the equation given in Problem 2.

Question: Show that equation (13) reduces to an equation of the form d y d x = G ( a x + b y ) ,

In problem 7-16 , solve the equation. dx dt = 3 xt 2

Question: In Problems 1-30, solve the equation.

## Want to see more solutions like these?

94% of StudySmarter users get better grades.

- Solve equations and inequalities
- Simplify expressions
- Factor polynomials
- Graph equations and inequalities
- Advanced solvers
- All solvers
- Arithmetics
- Determinant
- Percentages
- Scientific Notation
- Inequalities

## What is algebra?

## Partial Fractions

Go to the Partial Fractions page

## IMAGES

## VIDEO

## COMMENTS

Type a math problem Solve algebra trigonometry Get step-by-step explanations See how to solve problems and show your work—plus get definitions for mathematical concepts Graph your math problems Instantly graph any equation to visualize your function and understand the relationship between variables Practice, practice, practice

Microsoft Math Solver - Math Problem Solver & Calculator Get step-by-step solutions to your math problems Try Math Solver Type a math problem Solve Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθ cosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5] Simultaneous equation { 8x + 2y = 46 7x + 3y = 47

You will need to get assistance from your school if you are having problems entering the answers into your online assignment. Phone support is available Monday-Friday, 9:00AM-10:00PM ET. You may speak with a member of our customer support team by calling 1-800-876-1799.

To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own. Solving Equations Video Lessons Solving Simple Equations Need more problem types? Try MathPapa Algebra Calculator Show Keypad

Solve math problems with the standard mathematical order of operations, working left to right: Parentheses, Brackets, Grouping - working left to right in the equation, find and solve expressions in parentheses first; if you have nested parentheses then work from the innermost to outermost

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...

Algebra Equation Solver Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!

You will need to get assistance from your school if you are having problems entering the answers into your online assignment. Phone support is available Monday-Friday, 9:00AM-10:00PM ET. You may speak with a member of our customer support team by calling 1-800-876-1799.

How to solve math problems step-by-step? To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the relevant information, define the variables, and plan a strategy for solving the problem.

To solve a math equation, you need to find the value of the variable that makes the equation true. ... And my personal favourite the camera feature which can scan problems and solve it right away. Great tool that has saved me many hours of sleep getting my maths work out of the way, completes most maths tasks rather well and great for checking ...

Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x Equations The equations section of QuickMath allows you to solve and plot virtually any equation or system of equations. In most cases, you can find exact solutions to your equations.

Mathematics has played a major role in so many life-altering inventions and theories. But there are still some math equations that have managed to elude even the greatest minds, like Einstein and Hawkins. Other equations, however, are simply too large to compute. So for whatever reason, these puzzling problems have never been solved. But what […]

Solving equations is a fundamental part of mathematics. In mathematics, an equation is a statement that two mathematical expressions are equal to each other. In algebra, the equation usually takes the form of "equals" or "x=". Different Types of Equations and How to Solve Them Equations are mathematical expressions that contain an equal sign (=).

Free Math Problem Solver - MathSolve.pro Free solve math problems Although the method which one is going to use when solving a math problem depends on the exact issue in question, there are general steps and guidelines one can follow. Choose discipline Disciplines Basic Math Solve Pre-Algebra Solve Algebra Solve Trigonometry Solve Precalculus Solve

Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform.

Completing the square method is a technique for find the solutions of a quadratic equation of the form ax^2 + bx + c = 0. This method involves completing the square of the quadratic expression to the form (x + d)^2 = e, where d and e are constants. What is the golden rule for solving equations?

Linear equations in three variable: Step 1. Take any two equation out given three equation, and solve it for one variable. Take two equations and solve them for the same variable as before. Now, solve the two equations in this order, find their value, and plug it into any of the three equations. For example,

10. hr. min. sec. SmartScore. out of 100. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)!

Step 1: Enter your equation In the Draw tab, write or type your equation. Use the Lasso Select tool to draw a circle around the equation. Then select Math. This will open the Math Assistant pane. Learn more: Create your equation using ink or text. Step 2: Solve your equation To solve the current equation, do any of the following:

Exponential Equations Not Requiring Logarithms. Solve each equation. 1) 42x+3 = 1. Clear up mathematic equation. If you're struggling to clear up a math equation, try breaking it down into smaller, more manageable pieces. By taking a step-by-step approach, you can more easily see what's going on and how to solve the problem.

The user is expected to use substitution and. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points. To clear up a math equation, work through each step of the equation slowly and carefully. Check your work as you go to identify any mistakes.

Money for solving math problems - Money for solving math problems can be found online or in mathematical textbooks. Math Index ... Deal with math equation. Mathematics is a way of dealing with tasks that require e#xact and precise solutions. Figure out mathematic problem.

Use the method discussed under "Homogeneous Equations" to solve problems 9-16. d y d x = y ( lny - lnx + 1) x. Question: In Problems 33-40, solve the equation given in: Problem 4. In problem 1 - 6, determine whether the differential equation is separable d y d x = 4 y 2 - 3 y + 1. In problem 1 - 6, determine whether the differential ...

However, f (x) is an element of Y, namely the element which f assigns to x. Two functions f and g from X to Y are said to be equal, written. for every x in X. Example 1 Let f be the function with domain R such that f (x) = x 2 for every x in R. Find f (-6) and f (a), where a is any real number.