SOLUTION: x^2-6x+25y^2-100y=-84

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Question 671163: x^2-6x+25y^2-100y=-84
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

conic Forms:

Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ 

Hyperbola opening Up and down is: %28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1

Hyperbola opening right and  left is: %28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1

Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk 

Parabola opening right(a>0) or left(a<0), x=a%28y-k%29%5E2+%2Bh

x^2-6x+25y^2-100y=-84

(x-3)^2 + 25(y-2)^2 = -84 + 9 + 100

(x-3)^2 + 5(y-5)^2 =25

%28x-3%29%5E2%2F25+%2B+%28y-5%29%5E2%2F5+=1 Ellipse