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: 12


$x=4$ or $x=5$

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. $x^2-9x+20=0$ A product is zero when either factor is zero. Factor the trinomial. $(x-4)(x-5)$ Solve each factor for zero. $x-4=0$ or $x-5=0$ Use the addition property of equality to solve both equations for x. $x-4+4=0+4$ or $x-5+5=0+5$ Simplify. $x=4$ or $x=5$
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