Solve a Quadratic Equation

Methods to find solutions

quadratic equation worksheets with keys

Methods to Solve Quadratic Equations

Below are the four most commonly used methods to solve quadratic equations. Click on any link to learn more about any of the methods.

A quadratic equation is an equation that can be written as

ax ² + bx + c where a ≠ 0

In other words, a quadratic equation must have a squared term as its highest power

Examples of quadratic equations

y = 2x² + 3x + 5
y = 13x² + 22
y = x² − 4x +5
y = −x² + 5

Examples of equations that are NOT quadratic

y = 11x + 22
y = x³ − 4x² +5x +6
y = 2x³ − 7x²
y = −x⁴ + 5

The solution of a quadratic equation is the value of x when you set the equation equal to zero
i.e. When you solve the following general equation: 0 = ax² + bx + c

Given a quadratic equation: ax ² + bx + c
The quadratic formula below will solve the equation for zero
The quadratic formula is :