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Solving Rational Expressions: LCD Methods and Equations

Learn how to solve rational equations using Least Common Denominators (LCD). Practice with examples and restrictions to find solutions effectively and avoid errors. Homework included.

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Solving Rational Expressions: LCD Methods and Equations

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  1. 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 3/7/16 • Simplify the complex fraction Hint: Multiply by LCD

  2. Warm up Answer

  3. 8-6 Solving Rational ExpressionsDay 1

  4. Objective • -To Solve rational equations • -To use rational equations to solve problems

  5. Two Ways of Solving LCD: 6 Get commondenominators LCD: 6 Multiply all by LCD (6) (6) (6)  Same 

  6. Ex 1) Solve 1 2 3 6 6 LCD: 6 Multiply all by LCD 6

  7. Ex 2) T.O.O: Solve 3 2 LCD: 6 Multiply all by LCD 6 6 6

  8. Ex 3) t.o.o: Solve 2 LCD: 8 Multiply all by LCD 8 8 8

  9. Ex 4) Solve LCD: 2x Restrictions x ≠ 0 2x 2x 2x Make sure none of your answers are in the restrictions Quadratic Set to 0 Factor

  10. Ex 5) Try Together (diff method)Get common denominators LCD=4x

  11. 2 Ex 6) Solve 3 6x 6x 6x LCD: 6x Restriction: x ≠ 0 Doesn’t factor, use quadratic formula No Solution Get complex/imaginary number

  12. Ex 7) Try together (diff method)Get common denominators LCD=6x

  13. Ex 8) T.O.O: Solve x = 3, -3

  14. Homework Page 546 #9-19 odd, 47

  15. TOD y = 4, 1

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