Question

Determine the type of conic without graphing. y+xy-y^2-x^2=5x+x^2-y^2

Answer 1

@satellite73

Answer 2

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.

Answer 3

if \(B^2-4AC<0\) , an ellipse is defined
if \(B^2-4AC>0\), a hyperbola is defined
if \(B^2-4AC=0\), then the conic is a parabola

Answer 4

now check and see what u have here?

Answer 5

hyperbola?

Answer 6

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

Answer 7

yes, it is a hyperbola