Quadratic equation root calculator

Want to calculate? Get Solutions Here:

Enter a math problem on an Equation in the text area Above

Example x^2-2x+3=4 -OR- 2x-y=9 Click the button to Solve!


2x-y=0 Solve for variables Example
2x^2-2x+3=0 Quadratic Equation Example
x^2-5x-8=0 Quadratic Equation Example
2-3=0 Evaluate Example
2x-2y-xy Simplify/ Evaluate Example
2x^2-2x+6=0 Solve for variables Example
4x+2=2(x+6) Simplify Example

Graphical Solution of Equations:

A Worked example to illustrate how the quadratic calculator Works:

Worked Algebra example

This quadratic equation root calculator lets you find the roots or zeroes of a quadratic equation. A quadratic is a second degree polynomial of the form: ax^2+bx+c=0 where a\neq 0. To solve an equation using the online calculator, simply enter the math problem in the text area provided. Hit the calculate button to get the roots. A quadratic equation has two roots or zeroes namely; Root1 and Root2.

An equation root calculator that shows steps

Learning math with examples is the best approach. With our online calculator, you can learn how to find the roots of quadratics step by step. First, find the roots or solutions your way, and then use the roots calculator to confirm your answer. The calculator uses the quadratic formula to find the roots of a quadratic equation.

Solved quadratic equation examples

x^2 -6x + 3 = 0

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

x = \dfrac{ -(-6) \pm \sqrt{(-6)^2 - 4(1)(3)}}{ 2(1) }

x = \dfrac{ 6 \pm \sqrt{36 - 12}}{ 2 }

x = \dfrac{ 6 \pm \sqrt{24}}{ 2 }

 x = \frac{ 6 \pm 2 \sqrt{6}}{ 2 }

x = = 3+\sqrt{6} Or x = 3- \sqrt{6}

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How the Quadratic formula root calculator works

The online roots calculator is simple to use. Furthermore, the calculator can be used to find roots of varied problems. Whether the roots are real or complex, the calculator is able show a step by step solution.

To use this calculator, Insert your math expression on the textarea provided. Note you should only use the allowed notations and characters in order to obtain correct solution. Once you have the right expression or equation, Hit the calculate button to get started. The calculator will show you all the steps together with the reasoning or explanation behind each of the steps.

Acceptable Math symbols and their usage
If you choose to write your mathematical statements, here is a list of acceptable math symbols and operators.

  • + Used for Addition
  • -Used for Subtraction
  • *multiplication operator symbol
  • /Division operator
  • ^Used for exponent or to Raise to Power
  • sqrtSquare root operator
Pi : Represents the mathematical Constant pi or \pi

Go to Solved Algebra examples with Steps

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