Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.1 - Distance and Midpoint Formulas; Circles - Exercise Set - Page 767: 97

Answer

The $x-intercepts$ are $+3$ and $-3$.

Work Step by Step

$$\frac{x^2}{9}+\frac{y^2}{4}=1$$ Set $y=0$ $$\frac{x^2}{9}+\frac{y^2}{4}=1$$ $$\frac{x^2}{9}+\frac{0^2}{4}=1$$ $$\frac{x^2}{9}+0=1$$ $$\frac{x^2}{9}=1$$ Multiply both sides by $9$ $$\frac{x^2}{9}(9)=1(9)$$ $$x^{2}=9$$ Get the square root of both terms $$\sqrt (x^{2}) = \sqrt 9$$ Thus the $x-intercepts$ are $+3$ and $-3$.
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