Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set - Page 491: 17


$y=5$ or $y=-5$

Work Step by Step

A rational expression is undefined when the value of its denominator is zero. Write and solve an expression where the denominator is zero. $y^2-25=0$ A product is zero when either factor is zero. Factor the binomial. $(y-5)(y+5)$ Solve each factor for zero. $y-5=0$ or $y+5=0$ Use the addition property of equality to solve both equations for y. $y-5+5=0+5$ or $y+5-5=0-5$ Simplify. $y=5$ or $y=-5$
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