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 8.2 - The Quadratic Formula - Exercise Set - Page 608: 54

Answer

$18x^2+9x-5=0$

Work Step by Step

As we are given that solution set : {$-\dfrac{5}{6},\dfrac{1}{3}$} This implies that $x=-\dfrac{5}{6},\dfrac{1}{3}$ As per zero-product reverse property, we have $(6x +5)(3x-1)=0$ Now, apply FOIL METHOD $(6x+5)(3x-1)=0 \implies 18x^2-6x+15x-5=0$ or, $18x^2+9x-5=0$
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