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Solving Rational Equations. 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.
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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 Cross out duplicates to simplify Simplify by subtracting 6 from each side No Negative Variables! Divide by -1 Check your solution!
Solve. LCD: ? LCD: (x+1) ? Check your solution! No Solution!
What is the LCD? Multiply both sides of the equation by the LCD Simplify by cross – canceling Rewrite the expression Simplify by adding 3x to each side Divide each side by 4 to isolate the variable Check your answer √