Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - Chapters 1-7 Cumulative Review Problem Set: 8

Answer

$-3$

Work Step by Step

We evaluate the expression by substituting $x=4$ throughout the expression and simplifying: $\frac{x^{2}+3x-10}{x^{2}-9x+14}$ =$\frac{(4)^{2}+3(4)-10}{(4)^{2}-9(4)+14}$ =$\frac{16+12-10}{16-36+14}$ =$\frac{28-10}{-20+14}$ =$\frac{18}{-6}$ =$-3$
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