Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set: 51

Answer

The solutions are 2 and - $\frac{4}{5}$.

Work Step by Step

5$x^{2}$-6x-8=0 5$x^{2}$-6x-8=0 5$x^{2}$+4x-10x-8=0 x(5x+4)-2(5x+4)=0 (x-2)(5x+4)=0 x-2 =0 or 5x+4=0 x=2 0r x=-$\frac{4}{5}$ The solutions are 2 and - $\frac{4}{5}$. Check Let x=- $\frac{4}{5}$ 5$x^{2}$-6x-8=0 5$(-4/5)^{2}$-6$\frac{-4}{5}$-8=0 5*16/25+$\frac{24}{5}$-8=0 1*16/5+$\frac{24}{5}$-8=0 16/5+$\frac{24}{5}$-8=0 $\frac{40}{5}$-8=0 8-8=0 0=0 Let x=2 5$x^{2}$-6x-8=0 5*4-6*2-8=0 20-12-8=0 20-20=0 0=0
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