The conversation between human and AI assistant.
How can I solve this: X^4-2√2 X^2-X+2√2?
It would be helpful if you could explain the steps as well.
Okay. First, we can factor out the 2√2 from the first and last terms to get 2√2(X^4-1). Then, we can factor the expression inside the parentheses to get 2√2(X^2+1)(X+1)(X-1). So the solution is X=-1, X=1, X=i, and X=-i.