SOLUTION: Please write the following equation in standard form. x^2+8y^2+113=14x+48y

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Question 711589: Please write the following equation in standard form.
x^2+8y^2+113=14x+48y
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please write the following equation in standard form.
x^2+8y^2+113=14x+48y
rearrange terms:
x^2-14x+8y^2-48y=-113
complete the square:
(x^2-14x+49)+8(y^2-6y+9)=-113+49+72
(x-7)^2+8(y-3)^2=8
%28x-7%29%5E2%2F8%2B%28y-3%29%5E2=1
This is an equation of an ellipse with horizontal major axis with center at (7,3)
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