1. 8.6 Solving Rational Equations
Honors Algebra II

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

3. Example 1: Solve

4. Example 2: Solve

5. 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

6. Example 3: Solve

7. Example 4: Solve

8. Example 5: Solve

9. Example 6: Solve

10. Example 7: Solve