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# 9.6 solving rational expressions

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### 9.6 solving rational expressions

1. 1. 9.6 Solving Rational Equations p.505
2. 2. Hint for solving: <ul><li>A quick way to solve a rational equation is to multiply everything through by the LCD. </li></ul><ul><li>This will get rid of all the fractions! </li></ul><ul><li>Beware of extraneous solutions! </li></ul>
3. 3. Example : Solve. LCD : 2x Multiply each fraction through by the LCD Check your solution!
4. 4. Solve. LCD : ? LCD : (x+1) Check your solution! ? No Solution!
5. 5. Solve. Factor 1 st ! LCD: (x+2)(x-2) Check your solutions!
6. 6. Short Cut! <ul><li>When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion. </li></ul>
7. 7. Example : Solve. Check your solutions!
8. 8. One more SAT Question If Which of the following is an expression for
9. 9. Now you try! Pg 509 #’s 6-9 all