SOLUTION: Classify the conic section and write the equation in standard form. 18x^2+10y^2-108x-100y+232=0

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Question 704727: Classify the conic section and write the equation in standard form.
18x^2+10y^2-108x-100y+232=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Classify the conic section and write the equation in standard form.
18x^2+10y^2-108x-100y+232=0
rearrange terms
18x^2-108x+10y^2-100y+232=0
complete the square:
18(x^2-6x+9)+10(y^2-10y+25)=-232+162+250
18(x-3)^2+10(y-5)^2=180
%28x-3%29%5E2%2F10%2B%28y-5%29%5E2%2F18=1
This is an equation of an ellipse with vertical major axis.
Its standard form: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center