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 - Guided Practice for Examples 1 and 2 - Page 285: 2


The solutions are $4$ and $6$.

Work Step by Step

$ x^{2}-10x+25=1\qquad$ ...write left side as a binomial squared.$-10x=(-2x)(5)$ $(x-5)^{2}=1\qquad$ ...take square roots of each side. $ x-5=\pm 1\qquad$ ...add $5$ to each side. $ x-5+5=\pm 1+5\qquad$ ...simplify. $ x=5\pm 1\qquad$ ...write as separate equations. $x=5+1$ or $ x=5-1\qquad$ ...simplify. $x=6$ or $x=4$
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