>>13711432The equation can be written as
You can now diagonalize the matrix on the left with an orthonormal basis of eigenvalues.
Q is the matrix with the orthonormal eigenvector and D is the diagonal matrix with the corresbonding eigenvalues.
You can then do a variable change and you get the new equation
This is the simple equation of a hyperbola so you can immediatly write down the solution
(That's assuming you picked as the positive Eigenvalue otherwise reverse that shit.)
Then you can get x and y back.
