Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Practice and Problem-Solving Exercises - Page 565: 47



Work Step by Step

Consider the expression: $f(x)=-\frac{1}{2}x^2+2x+6$ or, $x^2-4x-12=-10$ Compare it with the standard form of quadratic equation $ax^2+bx+c$, we have $a=1, b=-4$ To complete the square, add $4$ on both sides. $x^2-4x-12+4=-10+4$ $x^2-4x+4=-10+4+12$ $(x-2)^2=6$ $\implies (x-2)=2.45$ and $(x-2)=-2.45$ or, $x=4.45,-0.45$
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