Question

dentity the graph of the equation 2x2 - 4xy + 2y2 - 7x + 7y = 0, then find , the angle of rotation.

Answer 1

The discriminant says \((-4)^{2} - 4(2)(2) = 16 - 16 = 0\) Shall we go with "Parabola"?

Answer 2

yes then to find the angle I had \[\tan2\theta=-4/2-2\] but that doesn't make sense, what is the angle of rotation?

Answer 3

If you add the parentheses in the denominator, you get -4/0!!!! Gaaa!!! What could that mean? It means \(\theta = \pi/4\)

Answer 4

which is 45 right?

Answer 5

Yes, 45º.

Answer 6

thanks so much for the help!

Answer 7

Happy Conic Section Spinning!