Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - Review Exercises: Chapter 5 - Page 370: 49



Work Step by Step

We are given the following equation: $$ s=4t+16t^2$$ Thus, plugging in $420$ for $s$, we find: $$ 420=4t+16t^2 \\ 16t^2+4t-420=0\\ t_{1,\:2}=\frac{-4\pm \sqrt{4^2-4\cdot \:16\left(-420\right)}}{2\cdot \:16}\\ t=5$$ Note, t can only be positive.
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