4x^2+25y^2+50y-75=0

complete the square
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1 Answer

4x2+25y2+50y-75=0,

4x2+25(y2+2y)-75=0,

4x2+25(y2+2y+1-1)-75=0,

4x2+25(y+1)2-25-75=0,

4x2+25(y+1)2=100 is the equation of an ellipse origin (centre) at (0,-1).

Divide through by 100:

x2/25+(y+1)2/4=1 is the standard form.

by Top Rated User (1.2m points)

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