1. 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.

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

3. 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

4. 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 

5.  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 =

6. 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

7. 5.2 Introduction to Solving Quadratic Equations
Key Skills
Use the Pythagorean Theorem to solve problems involving right triangles.
a2 + b2 = c2
a = 112
a = 112 – 72
a = 72
a  8.49
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