Mathematics · SS2
Solving Quadratic Equations
A quadratic equation has an x² term. The goal is to find the value or values of x that make the equation true.
Think of it this way
Think of a quadratic like a locked box with two possible keys. Factoring helps you discover both keys.
Break it down step by step
- 1
Write the equation in the form ax² + bx + c = 0.
- 2
Find two numbers that multiply to c and add up to b.
- 3
Split the middle term and group the expression.
- 4
Set each bracket equal to zero and solve for x.
Worked example
For x² + 5x + 6 = 0, factor to (x + 2)(x + 3) = 0. Therefore x = −2 or x = −3.
Check your understanding
Can you solve x² − 7x + 12 = 0 by finding two numbers that multiply to 12 and add to −7?