Question 671163
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Hi,
conic Forms:
Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} 
Hyperbola opening Up and down is: {{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}}
Hyperbola opening right and  left is: {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}}
Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}} 
Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}
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
{{{(x-3)^2/25 + (y-5)^2/5 =1}}} Ellipse