What type of conic section has the equation $9x^2-4y^2=36$ ?

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Answer 1 · 2014-09-25T01:46:04

This equation is almost in the form that we need to easily graph and identify.

$9x^2-4y^2=36$

Divide all terms by 36.

$(9x^2)/36-(4y^2)/36=36/36$

Simplify

$(x^2)/4-(y^2)/9=1$

Be more explicit with the numerator of each term.

$((x-0)^2)/4-((y-0)^2)/9=1=> Hyperbola$

What type of conic section has the equation 9x^2-4y^2=369x^2-4y^2=36?