WARM UP 3/7/16 Simplify the complex fraction Hint: Multiply by LCD Turn in Puzzle (from Thur) Stamp/Turn in HW (Ch. 8 Mini Quiz W-S) Today - Notes: 8-6.

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WARM UP 3/7/16 Simplify the complex fraction Hint: Multiply by LCD Turn in Puzzle (from Thur) Stamp/Turn in HW (Ch. 8 Mini Quiz W-S) Today - Notes: 8-6 Day 1 HW: Pg. 546 #9-19 odd, 47

WARM UP ANSWER

8-6 SOLVING RATIONAL EXPRESSIONS DAY 1

OBJECTIVE -To Solve rational equations -To use rational equations to solve problems

TWO WAYS OF SOLVING LCD: 6 Multiply all by LCD (6) LCD: 6 Get common denominators  Same 

EX 1) SOLVE LCD: 6 Multiply all by LCD

EX 2) T.O.O: SOLVE LCD: 6 Multiply all by LCD

EX 3) T.O.O: SOLVE LCD: 8 Multiply all by LCD

EX 4) SOLVE LCD: 2x Restrictions x ≠ 0 2x Make sure none of your answers are in the restrictions Quadratic Set to 0 Factor

EX 5) TRY TOGETHER (DIFF METHOD) GET COMMON DENOMINATORS LCD=4x

EX 6) SOLVE LCD: 6x Restriction: x ≠ 0 6x Doesn’t factor, use quadratic formula 3 2 No Solution Get complex/imaginary number

EX 7) TRY TOGETHER (DIFF METHOD) GET COMMON DENOMINATORS LCD=6x

EX 8) T.O.O: SOLVE x = 3, -3

HOMEWORK Page 546 #9-19 odd, 47

TOD y = 4, 1