Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 981: 8

Answer

$\dfrac{x^2}{25}-\dfrac{y^2}{24}=1$

Work Step by Step

Foci: $(-7,0), (7,0)$ and Vertices: $(-5,0)$ and $(5,0)$ We are given that $ c=7; a=5$` Since $ c^2=a^2+b^2$ so, $ b^2=c^2-a^2=49-25=24$ Thus, the equation for the hyperbola is: $\dfrac{x^2}{25}-\dfrac{y^2}{24}=1$
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