Solving rational expressions

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9.6 Solving Rational Equations p.505

Hint for solving: ,[object Object],[object Object],[object Object]

$Example : Solve. LCD : 2x Multiply each fraction through by the LCD Check your solution!$

Solve. LCD : ? LCD : (x+1) Check your solution! ? No Solution!

Solve. Factor 1 st ! LCD: (x+2)(x-2) Check your solutions!

Short Cut! ,[object Object]

Example : Solve. Check your solutions!

Last Example : Solve. Check your solutions!

$Solve for x (alternate method): Multiply through by a common denominator to get rid of all fractions$

Solving Rational Inequalities ,[object Object],[object Object],[object Object],[object Object]

Example ,[object Object],[object Object],[object Object],[object Object]

Example ,[object Object],[object Object],[object Object],[object Object]

SAT Question – Rational Expressions If and which of the following gives all values of x? ,[object Object],[object Object],[object Object],[object Object],[object Object]

One more SAT Question If Which of the following is an expression for

Now you try! Pg 509 #’s 6-9 all

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Solving rational expressions

1. 9.6 Solving Rational Equations p.505

2.

3. Example : Solve. LCD : 2x Multiply each fraction through by the LCD Check your solution!

4. Solve. LCD : ? LCD : (x+1) Check your solution! ? No Solution!

5. Solve. Factor 1 st ! LCD: (x+2)(x-2) Check your solutions!

6.

7. Example : Solve. Check your solutions!

8. Last Example : Solve. Check your solutions!

9. Solve for x (alternate method): Multiply through by a common denominator to get rid of all fractions

10.

11.

12.

13.

14. One more SAT Question If Which of the following is an expression for

15. Now you try! Pg 509 #’s 6-9 all