MathIsimple

Quadratic Equations

Master solving quadratic equations! Learn multiple methods: factoring, square root method, completing the square, and the quadratic formula.

9th Grade
Algebra
~60 min
🎮 Interactive Activity: Quadratic Formula Solver

Solve quadratic equations using the quadratic formula!

Equation:

1-5x +6 = 0
🎮 Interactive Activity: Completing the Square

Convert to vertex form by completing the square!

Standard Form:

+6x +5

Vertex Form:

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1. Standard Form & Zero Product Property

Standard Form

A quadratic equation in standard form is: ax² + bx + c = 0, where a ≠ 0.

Zero Product Property

If ab = 0, then either a = 0 or b = 0 (or both).

Example: If (x - 2)(x - 3) = 0, then x - 2 = 0 or x - 3 = 0, so x = 2 or x = 3.

2. Solving by Factoring
3. Square Root Method
4. Completing the Square
5. Quadratic Formula
6. The Discriminant
Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
What is the quadratic formula?
2
Solve: x² - 5x + 6 = 0
3
What is the discriminant of x² + 4x + 4 = 0?
4
If discriminant > 0, how many real solutions?
5
Solve: 2x² - 8 = 0
6
What does it mean if discriminant < 0?
7
Complete the square for x² + 6x + 5
8
Solve: x² - 9 = 0
9
What is the discriminant used for?
10
Solve: x² - 4x + 4 = 0