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: 50

Answer

The solutions are -1 and $\frac{2}{9}$.

Work Step by Step

9$x^{2}$+7x=2 9$x^{2}$+7x-2=2-2 9$x^{2}$+7x-2=0 9$x^{2}$+9x-2x-2=0 9x(x+1)-2(x+1)=0 (9x-2)(x+1)=0 9x-2 =0 or x+1=0 9x=2 0r x=-1 x=$\frac{2}{9}$ or x=-1 The solutions are -1 and $\frac{2}{9}$. Check Let x= $\frac{2}{9}$ 9$x^{2}$+7x=2 9$(2/9)^{2}$+7$\frac{2}{9}$=2 9*4/81+$\frac{14}{9}$=2 1*4/9+$\frac{14}{9}$=2 4/9+$\frac{14}{9}$=2 $\frac{18}{9}$=2 2=2 Let x= -1 9$x^{2}$+7x=2 9(1)+7(-1)=2 9-7=2 2=2
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