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: 54

Answer

The solutions are -1 and 3.

Work Step by Step

3$x^{2}$-6x-9=0 3$x^{2}$+3x-9x-9=0 3x(x+1)-9(x+1)=0 (3x-9)(x+1)=0 3x-9 =0 or x+1=0 3x=9 0r x=-1 x=3 or x=-1 The solutions are -1 and 3. Check Let x=-1 3$x^{2}$-6x-9=0 3$(-1)^{2}$-6(-1)-9=0 3+6-9=0 9-9=0 0=0 Let x=3 3$x^{2}$-6x-9=0 3$(3)^{2}$-6(3)-9=0 3*9-18-9=0 27-18-9=0 0=0 3+6-9=0 9-9=0 0=0
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