Write in simplest form1. 2. 3.

Warm – up #4

1. = = = = =

Warm – up #4 Solutions

= =

2. = = = = 32

Warm – up #4 Solutions3. = == = =

Homework Log

Mon

1/11

Lesson 6 – 5

Learning Objective: To solve square root equations

Hw: Lesson 6 – 5 WS 1

1/11/16 Lesson 6 – 5 Solving Radical Equations

Day 1Algebra II

To solve square root equationsTo solve radical equations

Learning Objective

Get radical aloneOR get one radical on each side of =“Undo” the radicalMay have the “undo” more than one radical

Solve for the variablePlug back into ORIGINAL equation to check for EXTRANEOUS SOLUTIONS!

Solving Radical Equations

1. –3 –3 2x – 3 = 252x = 28x = 14

Solving Radical Equations

CHECK IN ORIGINAL!

2. +5 +5 4x + 1 = 254x = 24x = 6

Solving Radical Equations

CHECK IN ORIGINAL!

3. 2 2 = = =

Solving Radical Equations

x + 3 = 8x = 5Or x + 3 = -8x = -11MUST BOTH!

When numerator is EVEN, need

Solving Radical EquationsCHECK x = -11CHECK x = 5

4. x + 1 = x + 1 = x + 1 = 32x = 31

Solving Radical Equations

CHECK!

Numerator is NOT EVEN, Don’t need

5. 3 3 = = = 8

Solving Radical Equations

x + 1 = 8x = 7ORx + 1 = -8x = -9

Solving Radical EquationsCHECK x = -9CHECK x = 7

6. x + 7 = (x + 5)(x + 5)x + 7 = 0 = 0 = (x + 3)(x + 6)

x + 3 = 0 x + 6 = 0x = -3, -6

Solving Radical Equations

18

96 3

x(x + 3) + 6(x + 3)

Solving Radical EquationsCHECK x = -6CHECK x = -3

7. 5x - 1 = (x – 3)(x – 3)5x - 1 = 0 = 0 = (x - 1)(x - 10)

x - 1 = 0 x – 10 = 0x = 1, 10

Solving Radical Equations

10

-11-10 -1

x(x - 1) - 10(x - 1)

Solving Radical EquationsCHECK x = -10CHECK x = 1

8. 2x + 1 = 2x + 1 = x +

Solving Radical Equations

x = 0 x – 4 = 0x = 0, 4

Solving Radical EquationsCHECK x = 4CHECK x = 0

9. 5x + 4 = 5x + 4 = x + (4x – 12)(4x - 12) = 64x

Solving Radical Equations

9. 16(16(x – 9x – 1x + 9) = 016(x(x – 9) – 1(x – 9)) = 016(x – 1)(x – 9) = 0x – 1 = 0 x – 9 = 0

x = 1 or 9

Solving Radical Equations 9

-10-9 -1

Solving Radical EquationsCHECK x = 9CHECK x = 1

Solve Check for extraneous solutions

Ticket Out the Door

Assignment:

Lesson 6 – 5 WS 1