Objectives Solve quadratic equations by taking square roots. 5.2 Introduction to Solving Quadratic Equations Objectives Solve quadratic equations by taking square roots. Use the Pythagorean Theorem to solve problems involving right triangles.

Glossary Terms principal square root Pythagorean Theorem 5.2 Introduction to Solving Quadratic Equations Glossary Terms principal square root Pythagorean Theorem

Rules and Properties Solving Equations of the Form x2 = a 5.2 Introduction to Solving Quadratic Equations Rules and Properties Solving Equations of the Form x2 = a If x2 = a and a  0, then x = or x = , a – or simply x = .  a

Product Property of Square Roots 5.2 Introduction to Solving Quadratic Equations Key Skills Properties of Square Roots Product Property of Square Roots a  0, b  0: ab a b =  Quotient Property of Square Roots a  0, b > 0: = a b a b 

 Key Skills Solve quadratic equations by taking square roots. 5.2 Introduction to Solving Quadratic Equations Key Skills Solve quadratic equations by taking square roots. 25(x – 2)2 = 9 (x – 2)2 = 9 25 x – 2 =  9 25  3 5  x – 2 =

Key Skills Solve quadratic equations by taking square roots. 3 5  5.2 Introduction to Solving Quadratic Equations Key Skills Solve quadratic equations by taking square roots. 3 5  x – 2 = or 3 5 x – 2 = – or x = 2.6 x = 1.4

5.2 Introduction to Solving Quadratic Equations Key Skills Use the Pythagorean Theorem to solve problems involving right triangles. a2 + b2 = c2 a2 + 72 = 112 a = 112 – 72 a = 72 a  8.49 TOC