determine the type of conic

Question

8x^2+12xy+17y^2=20 any help would be wonderful (:

Answer 1

You need to check out an explanation of conic sections based on the general form of the 2nd degree equation:

Ax² + Bxy + Cy² + Dx + Ey + F=0.

When B² - 4AC <0, the graph will be an ellipse.

Plotting the equation given will show that this is true in this case.