1. For the nondegenerate quadratic equation Ax^2+Bxy+Cy^2+Dx+Ey+F=0, explain what each of the following tells you about the graph of the equation. a. B^2- 4AC=0 b. B^2-4AC0 c. B^2- 4AC

Question

1.	For the nondegenerate quadratic equation Ax^2+Bxy+Cy^2+Dx+Ey+F=0, explain what each of the following tells you about the graph of the equation. 
a. B^2- 4AC=0
b. B^2-4AC>0
c. B^2- 4AC<0
d. B is not equal to 0

anonymous · Answer

a. 2 equal real roots
b. 2 different real roots
c. 2 complex roots
d. 2 roots

anonymous · Answer

also doesn't a. tell you that the equation will be a parabola. b. will be a hyperbola. c. will be an ellipse/circle. and d. will be either a hyperbola or an ellipse/circle.

anonymous · Answer

yes

anonymous · Answer

it's a quadratic form, so it can be all that, depend on D

anonymous · Answer

these are the coefficients for the general equations of the conics.. they will determine what type of conic you have...
a.  parabola
b.  hyperbola
c.  ellipse

anonymous · Answer

thank you! what about d?

anonymous · Answer

"B" is the coefficent of the xy term. if B is not equal to zero, i think it was just a rotation of those conics... sorry i can't remember...

anonymous · Answer

ok! thank you anyways :)