Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.5 Add and Subtract Rational Expressions - 8.5 Exercises - Mixed Review - Page 588: 52

Answer

$$x=\pm\sqrt5$$

Work Step by Step

In order to solve this problem, we must use the FOIL method. This means that we multiply the first terms in each factor by each other. Then, we multiply the two outer terms by each other. Next, we multiply the two inner terms. Finally, we multiply the two terms that have yet to be multiplied by each other. Adding these together, combining like terms, and then setting the factors equal to zero, we find: $$5x^2=25 \\ x^2=5 \\ x=\pm\sqrt5$$
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