Find constants a and b that guarantee that the graph of the funtion defined by f(x) = 50x^2+7/ax^2-b will have a verticle asymptote at x=-6/5, 6/5 and a horizontal asymptote at y=2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 41E
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Find constants a and b that guarantee that the graph of the funtion defined by f(x) = 50x^2+7/ax^2-b will have a verticle asymptote at x=-6/5, 6/5 and a horizontal asymptote at y=2

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