Algebra Calculators

Basic Calculator

Algebra calculators for absolute value and difference, cube roots, square roots, exponents, any radicals or roots, simplifying radical expressions, fractional exponents, logarithms and solving quadratic equations.

Absolute Difference Calculator

Calculate the absolute difference between two real numbers \( | \, x - y \, | \)

Absolute Value Calculator

Calculate absolute value of real numbers \( | \, x \, | \)

Completing the Square Calculator

Solve quadratic equations in the form \( ax^2 + bx + c = 0 \) by the completing the square method, solve for x in second order polynomial equations

Cubic Equation Calculator

Solve the polynomial equation \( ax^3 + bx^2 + cx + d = 0 \)

Cube Calculator x³ | x cubed

Calculate the cubed value of integers, decimals and scientific e notation. \( \normalsize 2^3 = 2 \times 2 \times 2 = 8 \)

Cube Root Calculator

Calculate real and complex cube roots (3rd order roots) of numbers or \( \normalsize \sqrt[3]{x} \). Where x is a real number.

Difference of Two Squares Calculator

Factor the difference of two squares using the identity \(a^2 - b^2 = (a + b)(a - b) \)

Dot Product Calculator

Find the dot product of two or more vectors.

Exponents Calculator

Calculate the result of an exponential value n of a number x, or x to the power of n, or \( x^n \). Includes list of exponent rules.

Large Exponents Calculator

Calculate exponentiation for large values of n of a number x, or x to the power of n, or \( x^n \).

Fifth Root Calculator

Calculate real and complex 5th order roots of numbers or \( \normalsize \sqrt[5]{x} \). With x as a real number.

Fourth Root Calculator

Calculate real and complex 4th order roots of numbers or \( \normalsize \sqrt[4]{x} \). With x as a real number.

Fractional Exponents Calculator

Calculate the fractional exponential value n/d of a number x, or \( \normalsize x^\frac{n}{d} \)

Logarithm Equation Calculator

Solve for b, x or y in the logarithm equation \( \log_{b}x = y \)

Percentage Change Calculator

Calculate the percent change from one value to another, from V₁ to V₂, or

\( \text{Percentage Change} = \dfrac{\Delta V}{|V_1|} \times 100 \)

Percentage Increase Calculator

Calculate the percent increase from a starting value to a final value, or

\( \text{Percentage Increase} = \)

\( \dfrac{\text{Final Value} - \text{Starting Value}}{\left|\text{Starting Value}\right|} \times 100 \)

Percentage Decrease Calculator

Calculate the percent decrease from a starting value to a final value, or

\( \text{Percentage Decrease} = \)

\( \dfrac{\text{Starting Value} - \text{Final Value}}{\left|\text{Starting Value}\right|} \times 100 \)

Percentage Difference Calculator

Calculate the percent difference for two values, V₁ and V₂, or

\( \text{Percentage Difference} \)

\( = \dfrac{|\Delta V|}{\left[\dfrac{\Sigma V}{2}\right]} \times 100 \)

\( = \dfrac{|V_1-V_2|}{\left[\dfrac{(V_1+V_2)}{2}\right]}\times100 \)

Percent Error Calculator

Calculate the percent error of the Experimental (measured) value to the Theoretical (actual) value, or

\( \text{Percent Error} = \dfrac{| E-T |}{| T |}\times100 \)

Perfect Cubes - The First 100 Perfect Cubes

See a list of the numbers 1-100 cubed. Print a list of the first 100 perfect cubes.

Quadratic Formula Calculator

Solve quadratic equations, solve for x in the polynomial equation \( ax^2 + bx + c = 0 \) using the quadratic formula

\( x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a } \)

Radicals or Root Calculator

Calculate real and complex n^th roots of a value x, or \( \sqrt[n]{x} \). Where n and x are real numbers.

Simplify Radical Expressions Calculator

Solve \( y \cdot \sqrt[n]{x} \) to simplified radical expressions or an integer including complex solutions

Square Calculator x²

Calculate the squared value of integers, decimals and scientific e notation. \( \normalsize 2^2 = 2 \times 2 = 4 \)

Square Root Calculator

Calculate real and complex square roots (2nd order roots) of numbers or \( \normalsize \sqrt{x} \). With x as a real number.

Solve for Exponents Calculator

Enter values x and y into this calculator to solve for the exponent value n in the equation \( x^n = y \)