Algebra: A Combined Approach (4th Edition)

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

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 35

Answer

$x=(−5,-3)$

Work Step by Step

Step -1 : Add the square of half of the co-efficient of $x$ to both sides. Co-efficient of $x = 8$ Half of $8 = \frac{1}{2}×8=4$ Square of $4$ is $4×4=16$ The equation becomes $x^2+8x+16=-15+16$ Step-2 Factor the trinomial and simplify the right hand side. $(x+4)^2=1$ Step-3 Use the square root property and solve for $x$ $(x+4)=±\sqrt 1$ $x+4=±1$ Step-4 Subtract 4 on both the sides $x=−4±1$ Therefore the solution set is $(-5,-3)$
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