Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-6 Complete the Square - Practice and Problem-Solving Exercises - Page 237: 24


\begin{align*} x&=11 &\text{and}& &x=1 \end{align*}

Work Step by Step

Subract $25$ from each side to obtain: $$x^2-12x+11=0$$ Factor the trinomial to obtain: $$(x-11)(x-1)=0$$ Use the Zero-Product Property by equating each factor to zero, then solve each equation to obtain: \begin{align*} x-11&=0 &\text{or}& &x-1=0\\ x&=11 &\text{or}& &x=1 \end{align*}
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