johnnyalln
Determine the type of conic without graphing. y+xyy^2x^2=5x+x^2y^2



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johnnyalln
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@satellite73

mukushla
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The general form of the conic section equation is: \[Ax^2+Bxy+Cy^2+Dx+Ey+F=0\] where not both A and C are zero.

mukushla
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if \(B^24AC<0\) , an ellipse is defined
if \(B^24AC>0\), a hyperbola is defined
if \(B^24AC=0\), then the conic is a parabola

mukushla
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now check and see what u have here?

johnnyalln
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hyperbola?

anonymous
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add \(y^2\) to both sides and it disappears

anonymous
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yes, it is a hyperbola