1. Review of Radicals and Quadratic Equations
NOTES 9.1
Review of Radicals and Quadratic Equations

2. Simplify Radical Expressions:
Look for largest perfect square that goes in evenly. = = 4

3. Try: 1. (3 )2
= 3 3
= 63 2. = = or 3

4. Quadratic Equations
Method 1: Solve for x (remember you will have ± in your answer)
x2 + 9 = 25
x2 = 16
x = ± 4

5. Method 2: Factoring x2 + 9 = 25 x2 - 16 = 0 (x-4)(x+4) = 0 (factor)
x-4 = 0 or x+4=0
x = ± 4
Notice that with either method you get the same answer.

6. Try this one:
( )2 + ( )2
25 • 3 + 5
75 + 5 80
x2 =
x2 =
x2 =
x2 =
x = x=

7. Simplify: + -

8. Find AB A2 + B2 = C2 72 + 102 = AB2 49 + 100 = AB2 149 = AB2 A (0, 7)
(0, 0)
(10, 0) C B
= AB2
= AB2
149 = AB2