Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set - Page 473: 53


$y=-\displaystyle \frac{5}{2}$

Work Step by Step

$ 4y^{2}+20y+25=0\qquad$...recognize a perfect square trinomial. $(A\pm B)^{2}=A^{2}\pm 2AB+B^{2}$ $(2y+5)^{2}=0$ $(2y+5)(2y+5)=0\qquad$...apply the principle of zero products. $2y=-5$ $y=-\displaystyle \frac{5}{2}$ Type the equation into a graphing utility and see that the graph intercepts the x-axis at $-\displaystyle \frac{5}{2}$.
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