Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.4 - Equations Quadratic in Form - Exercise Set - Page 636: 39



Work Step by Step

Plug $f(x)=-16$ Therefore, we have $(x^2+3x-2)^2-10(x^2+3x-2)=-16$ This implies $[(x^2+3x-2)-8][(x^2+3x-2)-2]=0$ Now, $(x^2+3x-2)-8=0$ or, $x^2+3x-10=0$ or, $(x+5)(x-2)=0$ or, $x=${$-5,2$} and $(x^2+3x-2)-2=0$ or, $x^2+3x-4=0$ or, $(x-1)(x+4)=0$ or, $x=${$-4,1$} Solution set: $x=${$-5,-4,1,2$}
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