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#