9.4 Solving Quadratic Equations

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Presentation transcript:

9.4 Solving Quadratic Equations Standard Form: How do we solve this for x?

3 Methods: Isolate x2, and take the Square Root Factor, split, & solve Use the Quadratic Formula

Ex 1) Solve for x: 2x2 – 32 = 0

Ex 2) Solve for x: – x2 + 5 = 0

Ex 3) Solve for x: x2 – 72 = 0

Ex 4) Solve for x: 2x2 + 7x = –3

Steps to solve by Factoring: Rewrite in Standard Form Factor Use the Zero Product Property If ab = 0, then a = 0 or b = 0.

9.4 Solving Quadratic Equations Solve for x: 1) 2) How do we solve this?

The Quadratic Formula If, Then,

Steps: Rewrite in Standard Form Identify a, b, & c Substitute a, b, & c into Quadratic Formula and Evaluate.

Ex 1: Solve for x.

1st Rewrite in Standard Form 2nd Identify a, b, & c

3rd Substitute a, b, & c into Quadratic Formula and Evaluate.

3rd Substitute a, b, & c into Quadratic Formula and Evaluate.

Ex 2) Solve for x: 3x2 – 5x – 1 = 0

Homework: