How to classify Conic Sections?

Classify the conic section?

  • 25x^2 = 64+ 16y^2 Classify the conic section as a circle, and ellipse and hyperbola or a parabola ?

  • Answer:

    25x^2 = 64 + 16y^2 25x^2 - 16y^2 = 64 (25/64)x^2 - (16/64)y^2 =1 x^2 / (8/5)^2 - y^2 / (8/4)^2 = 1 Hyperbola in standard form.

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25x² - 16y² = 64 is a hyperbola. ellipse is + and circle is + and numbers are equal Parabola has only one squared variable

Ashley

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