SOLUTION: classify the conic section an write its equation in standard form. {{{ x^2+9y^2-8x-90y+232=0 }}}

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Question 625958: classify the conic section an write its equation in standard form.
+x%5E2%2B9y%5E2-8x-90y%2B232=0+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
classify the conic section an write its equation in standard form.
x%5E2%2B9y%5E2-8x-90y%2B232=0
x^2-8x+9y^2-90y+232=0
(x^2-8x+16)+9(y^2-10y+25)=-232+16+225
(x-4)^2+9(y-5)^2=9
%28x-4%29%5E2%2F9%2B%28y-5%29%5E2=1
This is an equation of an ellipse with horizontal major axis
Its standard form: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of center