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: 9


$x=5\frac{2}{3}$ or $x=-3$

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. $(3x-17)(x+3)=0$ A product is zero when either factor is zero. $3x-17=0$ or $x+3=0$ Use the addition property of equality to solve both equations for x. $3x-17+17=0+17$ or $x+3-3=0-3$ Simplify. $3x=17$ or $x=-3$ Use the multiplication property of equality to solve the first equation for x. $3x\div3=17\div3$ or $x=-3$ Simplify. $x=5\frac{2}{3}$ or $x=-3$
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