Question

use the discriminant to determine whether the equation is a parabola, an ellipse, or a hyperbola. Then identify the angle of rotation required to eliminate the xy-term.

x^2+4xy+y^2=1

5x^2-6xy+5y^2-8x+8y-8=0

9x^2+24xy+16y^2=25
well, what are the discriminants? That is easy, and we can go from there.

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