How do I solve this?

Question

11x^2 − 24xy + 4y^2 + 20 = 0

Answer 1

It is a rotated hyperbole. There are no real zeros.

Here is a graph in Desmos:

https://www.desmos.com/calculator/9gyqzptlcj

Answer 2

try to solve for x or y, there is No Solution. DNE

graph it

it never intersects the x or y axes, it's in 2 branches, Q1&3

y < |1.483|, x <|1.618|