Monday

Schedule Monday: Rational Equations Tuesday: Rational Equations Wednesday: In class Activity, Factoring Quiz Thursday: Quiz Friday: Test Review Monday: Holiday Tuesday: Unit 12 Test (Last Unit test) Wed/Thurs/Fri: Final Exam Review

Rational Equations Section 8-6

Objectives Solve rational equations with one variable Check answers for Extraneous Solutions

Solving Equations One variable without exponents 2x - 8 = 6 Quadratic equations will need to be factored x 2 – 3x – 18 = 0 Any solution that makes a denominator ZERO does not check. (Extraneous)

Solving Rational Equations Two basic methods 1. Cross Multiply two rational expressions to solve them (We learned last class) 2. Set equation equal to ZERO and then get Common Denominator

Common Denominators Select common denominator Insure you have all factors in the denominator Convert all numerators

Set Equation to ZERO 2(x-2)6

Problem Continued MUST CHECK ANSWERS x = 2 is extraneous x= 2/5 is only solution that checks

Example 2 (x-4)x(x-4)x

Problem Continued MUST CHECK ANSWERS BOTH check x = -5/2 and x = 8

Homework WS 12-5