11-5 Solving Rational Equations

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Presentation transcript:

11-5 Solving Rational Equations Algebra I

Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will get rid of all the fractions! Beware of extraneous solutions!

Multiply each fraction through by the LCD Example 1: Solve. LCD: 2x Multiply each fraction through by the LCD Check your solution!

Ex. 2 Solve. LCD: ? LCD: (x+1) ? Check your solution! No Solution!

Ex. 3: Solve. Check your solutions!

Assignment

Ex. 3 Solve. Factor 1st! LCD: (x+2)(x-2) Check your solutions!

Short Cut! When there is only one fraction on each side of the =, just cross multiply as if you are solving a proportion.

Ex. 5: Solve. Check your solutions!