Quadratic Equation Solver - Calculator

\(x^2\) + \(x\) + \(= 0\)
Random Equation



Enter coefficients, get the equation solved!

This quadratic equation solver lets you see worked solutions to quadratic equations.

You can see worked solutions using factorisation, the quadratic formula, or completing the square.

A quadratic is any equation of the form \(ax^2 + bx + c = 0\). Quadratics have up to two "roots", or values of \(x\) which satisfy the equation. The three common methods for finding these roots are:

Input an equation or click to generate a random equation, and then choose a method to see the worked solution.

Negative \(x^2\) coefficient

You cannot input a negative \(x^2\) coefficient using this tool. However, you can use the fact that \[-ax^2 + bx + c = 0 \Rightarrow ax^2 + (-b)x + (-c) = 0\] This is achieved by multipling both sides by \(-1\), which is convenient since the right hand side is zero.

Glitches and Improvements

If you find any glitches or have ideas for how this applet could be improved, please let me know by contacting me on Twitter: @NextLevelMaths.