SOLUTION: assuming that the equation represents a nondegenerate conic, classify by computing B^2-4AC. 2x^2-4xy+8y^2+7=0

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Question 617574: assuming that the equation represents a nondegenerate conic, classify by computing B^2-4AC.

2x^2-4xy+8y^2+7=0

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The general form for these equations is:
Ax%5E2%2BBxy%2BCy%5E2%2BDx%2BEy%2BF+=+0

For our equation this makes
A = 2
B = -4
C = 8
I'll leave it up to you to calculate B%5E2-4AC

The following will explain how to use the value of B%5E2-4AC:
  • If B%5E2-4AC+=+0 then you have the equation for a parabola.
  • If B%5E2-4AC+%3E+0 then you have the equation for a hyperbola.
  • If B%5E2-4AC+%3C+0 then
    • If A = B, then you have the equation for a circle.
    • Otherwise, you have the equation for an ellipse.