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: 26


\begin{align*} x&=-5 &\text{ and }& &x=35\end{align*}

Work Step by Step

Subtract $400$ from each side to obtain: $$x^2-30x-175=0$$ Factor the trinomial to obtain: \begin{align*} (x-35)(x+5)&=0\\ \end{align*} Use the Zero-Product Property by equating each factor to zero, then solve each equation to obtain: \begin{align*} x-35&=0 &\text{or}& &x+5=0\\ x&=35 &\text{or}& &x=-5 \end{align*}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.