Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.5 - Determinants and Cramer's Rule - Exercise Set - Page 947: 81

Answer

a) The $x$ -intercept is $\pm 3$. b) The $y$ -intercept is $\pm 2$.

Work Step by Step

(a) To calculate the x-intercept, put $y=0$: $\begin{align} & \frac{{{x}^{2}}}{9}+0=1 \\ & {{x}^{2}}=9 \\ & x=\pm 3 \end{align}$ The $x$ -intercept is $\pm 3$. (b) To calculate the y-intercept, put $x=0$ $\begin{align} & 0+\frac{{{y}^{2}}}{4}=1 \\ & {{y}^{2}}=4 \\ & y=\pm \sqrt{4} \\ & =\pm 2 \end{align}$ The $y$ -intercept is $\pm 2$.
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