SOLUTION: Graph this equation: {{{ -9x^2+36x+4y^2-24y-36=0 }}}

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Question 41280: Graph this equation: +-9x%5E2%2B36x%2B4y%5E2-24y-36=0+
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
+-9x%5E2%2B36x%2B4y%5E2-24y-36=0+
or +9x%5E2-36x-4y%5E2%2B24y%2B36=0+
or
or +-9%28x+-+2%29%5E2+%2B+4%28y+-+3%29%5E2+=+36+
or +4%28y+-+3%29%5E2+-+9%28x+-+2%29%5E2+=+36+
or +%284%28y+-+3%29%5E2%29%2F36+-+%289%28x+-+2%29%5E2%29%2F36+=+36%2F36+=+1+
or +%28y+-+3%29%5E2%2F9+-+%28x+-+2%29%5E2%2F4+=+1+
or +%28y+-+3%29%5E2%2F3%5E2+-+%28x+-+2%29%5E2%2F2%5E2+=+1+
This is the equation of the hyperbolas with transverse axis x = 2 and conjugate axes y = 3 and y = 0 respectively.