8.6 Solving Rational Equations

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Objective SWBAT simplify rational expressions, add, subtract, multiply, and divide rational expressions and solve rational equations.

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Presentation transcript:

8.6 Solving Rational Equations Honors Algebra II

Method #1: Cross Multiply Only works with FRACTION=FRACTION Cross Multiply Solve (linear, quadratic, etc) Check for EXTRANEOUS solutions

Example 1: Solve

Example 2: Solve

Method #2: LCD Use when sum or difference of rational expressions Factor each denominator Find LCD Multiply each term by LCD (denominators should all cancel out) Solve (linear, quadratic, etc) Check for EXTRANEOUS solutions

Example 3: Solve

Example 4: Solve

Example 5: Solve

Example 6: Solve

Example 7: Solve