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 :