9.6 Solving Rational Equations p.569. Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will.

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9.6 Solving Rational Equations p.569

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!

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

Example: Solve. Check your solutions!

Last Example: Solve. Check your solutions!

Assignment