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: 3


The solutions are $22$ and $2$.

Work Step by Step

$ x^{2}-24x+144=100\qquad$ ...write left side as a binomial squared.($144=12^{2}$) $(x-12)^{2}=100\qquad$ ...take square roots of each side. $ x-12=\pm 10\qquad$ ...add $12$ to each side. $ x-12+12=\pm 10+12\qquad$ ...simplify. $ x=12\pm 10\qquad$ ...write as separate equations. $x=12+10$ or $ x=12-10\qquad$ ...simplify. $x=22$ or $x=2$
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