Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Skill Practice - Page 288: 12


Answer: A

Work Step by Step

$ x^{2}-4x+4=-1\qquad$ ...write left side as a binomial squared.($(a\pm b)^{2}=a^{2}\pm 2ab+b^{2}$) $a=x,b=2$ $(x-2)^{2}=-1\qquad$ ...take square roots of each side. $ x-2=\pm\sqrt{-1}\qquad$ ...simplify.($\sqrt{-1}=i$) $ x-2=\pm i\qquad$ ...add $2$ to each side. $ x-2+2=\pm i+2\qquad$ ...simplify. $x=2\pm i$
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