Hello, Rapha!

Does anyone know how to solve these equations?

. .

I want to find nontrivial solutions for and

I only know that . .Furthermore:

Subtract [4] - [3]: .

. . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . .

We have: .

. . And: .