1. 8.5 Solving Rational Equations

2. Steps to solve Rational Equations
1. Factor all denominators
2. Find the common denominator
Find restrictions
4. Cross out denominators
5. Solve and check restrictions

3. 8-5 : Solving Rational Equations
Example 1
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8-5 : Solving Rational Equations

4. Therefore, the equation has no solution.
Example 2 5x
x – 2
3x + 4 =
The solution x = 2 is extraneous because it makes the denominators of the original equation equal to 0.
Therefore, the equation has no solution.
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8-5 : Solving Rational Equations

5. Example 3

6. Example 4

7. Example 5

8. Example 6