SOLUTION: how do I find the major and minor axes of 9x^2+25y^2-18x=166

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Question 884330: how do I find the major and minor axes of 9x^2+25y^2-18x=166
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how do I find the major and minor axes of
9x^2+25y^2-18x=166
9x^2-18x+25y^2=166
complete the square:
9(x^2-2x+1)+25y^2=166+9
%28x-1%29%5E2%2F%28175%2F9%29%2By%5E2%2F7=1
This is an equation of an ellipse with horizontal major axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2, a>b, (h,k)=coordinates of center, a= major axis, b=minor axis.
For given equation:
major axis=175/9
minor axis=7