Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.3 Quadratic Functions and Their Zeros - 2.3 Assess Your Understanding - Page 146: 24


Zeros: $\dfrac{4}{5}$ $x$-intercepts: $\dfrac{4}{5}$

Work Step by Step

To find the zeros of a function $g$, solve the equation $g(x)=0$ The zeros of the function are also the $x-$intercepts. Let $F(x)=0$: $$25x^2+16-40x=0$$ Rearranging the Equation: $$25x^2-40x+16$$ By Factoring: $$(5x-4)(5x-4)=0$$ Use the Zero-PRoduct Property by equating each unique factor to zero, then solve each equation to obtain: $5x -4 =0$ $5x = 4$ $x=\dfrac{4}{5}$
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