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: 6


The solutions are $m=13$ or $m=-11$.

Work Step by Step

$ m^{2}-2m+1=144\qquad$ ...write left side as a binomial squared. $(m-1)^{2}=144\qquad$ ...take square roots of each side. $ m-1=\pm 12\qquad$ ...add $1$ to each side. $ m-1+1=\pm 12+1\qquad$ ...simplify. $ m=1\pm 12\qquad$ ...write as separate equations. $m=1+12$ or $ m=1-12\qquad$ ...simplify. $m=13$ or $m=-11$
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