Lesson 10 of 10

🎺 Quadratic Equations

🎓 Grades 9–12 ⏱ ~45 minutes 🔴 Advanced

Solve quadratic equations by factoring, completing the square, and the quadratic formula
Interpret the discriminant: b² − 4ac determines the number and type of solutions
Graph parabolas and identify vertex, axis of symmetry, and roots

Quick Check

1. Solve by factoring: x² − 5x + 6 = 0.

Ax = 2 or x = 3

Bx = −2 or x = −3

Cx = 1 or x = 6

2. If b² − 4ac = −5, how many real solutions?

ATwo

BOne

CNone

3. The vertex of y = x² − 4x + 3 is at x = ?

Ax = 3

Bx = 2

Cx = −2

4. Solve x² = 25 using the quadratic formula.

Ax = 5 only

Bx = 5 or x = −5

Cx = 12.5

Standard Form