﻿ Methods to Solve a Quadratic Equation--by factoring, by the quadratic formula...

# Solve a Quadratic Equation

### 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

Graphically, since a quadratic equation represents a parabola. The solution (for real numbers) is where the parabola cross the x-axis.

i.e.

When you solve the following general equation: 0 = ax² + bx + c

Given a quadratic equation: ax ² + bx + c

The quadratic formula is:

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