Linear algebra Determine the equation of the hyperbola, whose real axis has in extreme play the foci of the ellipse 16x² + 25y²-400 = 0 and whose eccentricity is the inverse of the eccentricity of the given ellipse

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter4: Rational Functions And Conics
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Linear algebra

Determine the equation of the hyperbola, whose real axis has in extreme play the foci of the ellipse 16x² + 25y²-400 = 0 and whose eccentricity is the inverse of the eccentricity of the given ellipse

The answer I found:16x²−9y²=144

 I wanted to know if it's correct

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