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8.6 Solving Rational Equations. pg.570. 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
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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
Solve. LCD: ? LCD: (x+1)
Solve. Factor 1st! LCD: (x+2)(x-2)
Short Cut! When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion.
Last Example: Solve. Check your solutions!