Find a if: a2 + b2 = c2 1.) c=10, b= 8 2.) c=20,b=16 3.) a2+152=172 4.) a2+242=252 Pythagorean Theorem

1.) Find a a2 + b2 = c2 a2 + 82 = 102 a2 + 64 = 100 a2 = 36 a = 6

2.) Find a a2 + b2 = c2 a2 + 162 = 202 a2 + 256 = 400 a2 = 144 a = 12

3.) Find a a2 + b2 = c2 a2 + 152 = 172 a2 + 225 = 289 a2 = 64 a = 8

4.) Find a a2 + b2 = c2 a2 + 242 = 252 a2 + 576 = 625 a2 = 49 a = 7

To be able to solve a Quadratic Equation by finding square roots. Today’s Objective To be able to solve a Quadratic Equation by finding square roots.

Expression with radicals Evaluate b2 - 4ac When a =1, b = -2, c = -3 (-2)2 - 4(1)(-3) 4 + 12 = 16 = 4

Expression with radicals Evaluate b2 - 4ac When a = -2, b = 8, c = -8 (8)2 - 4(-2)(-8) 64 - 64 = 0 = 0

Expression with radicals Evaluate b2 - 4ac When a = 4, b = 5, c =1 (5)2 - 4(4)(1) 25 - 16 9 = 3 Your Turn

Expression with radicals Evaluate b2 - 4ac When a =12, b= 13, c=3 (13)2 - 4(12)(3) 169 - 144 25 = 5 Your Turn

Solving Equations with a radical Solve for a a2 = 81 a = 81 a =  9 Review

Solving Equations with a radical Solve for a a2 = 5 a = 5 a =  5 Example 2

Solving Equations with a radical Solve for a a2 = 0 a = 0 Example 3

Solving Equations with a radical Solve for a a2 = -5 a = -5 No Solution Example 4

Solving Equations with a radical Solve for a 1.) a2 = 64 2.) a2 = 37 3.) a2 = 0 4.) a2 = -25 Your Turn

Solving Equations with a radical Solve for a 1.) a2 = 64 a = 8, or -8 2.) a2 = 37 a = 37, or - 37

Solving Equations with a radical Solve for a 3.) a2 = 0 a = 0 4.) a2 = -25 No Solution

Solving Equations with a radical 3x2 - 48 = 0 3x2 - 48 + 48 = 0 + 48 3x2 = 48 3x2/3 = 48/3 x2 = 16 x = 16 x =  4

Solving Equations with a radical 2.) 3x2 = 12 3.) 2n2 = 50 4.) 3a2 - 12 = 36 Your Turn

Solving Equations with a radical 2.) 3x2 = 12 a =  2

Solving Equations with a radical

Classwork Worksheet 9.2 (1-12) homework page 455 (31-34) & page 461 (9-20)