A hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

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13-10-2016
Mathematics

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A hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

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HomertheGenius HomertheGenius · Answer 1 · 2016-10-17T19:20:46+02:00

HomertheGenius HomertheGenius

17-10-2016

The standard form equation of the hyperbola:
x² / a² - y² / b² = 1
a = 5,
a² = 25
c = 6
c² = a² + b²
36 = 25 + b²
b² = 36 - 25
b² = 11
Answer:
x²/25 - y²/11 = 1

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