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: 46



Work Step by Step

Consider the expression: $f(x)=x^2-2x-1=5$ Compare it with the standard form of quadratic equation $ax^2+bx+c$, we have $a=1, b=-2$ To complete the square, add $1$ on both sides. $x^2-2x-1+1=5+1$ $x^2-2x+1=5+1+1$ $\implies (x-1)^2=7$ $\implies (x-1)=2.65$ and $\implies (x-1)=-2.65$ or, $x=3.65,-1.65$
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