Without writing the equation x^2+y^2+12x-26y+61=0 in the standard form, state whether the graph of this equation is a parabola, circle, ellipse, or hyperbola.

Question

luigi0210 · Answer

Do you know the proprieties of each conic?

anonymous · Answer

no

luigi0210 · Answer

well we are gonna be in trouble then aren't we?

anonymous · Answer

isn't it going to be a ellipse

luigi0210 · Answer

If it was an ellipse AC<0

anonymous · Answer

my options are circle ellipse parabola and hyperbola

luigi0210 · Answer

this is great help: http://hotmath.com/hotmath_help/topics/conic-sections-and-standard-forms-of-equations.html

luigi0210 · Answer

Ellipse: AC>0 (Sorry I messed up earlier)
Parabola: Has one squared term
Hyperbola: AC<0
Circle: A=C 

Ax^2+Bxy+Cy^2+Dx+Ey+F=0

Use this equation as a reference

luigi0210 · Answer

So basically, look at the squared terms