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How can I solve this: X^4-2√2 X^2-X+2√2?
Finally, what about X=-i?
Substituting -i for X gives us (-i)^4-2√2 (-i)^2 -(-i) + 2√2, which simplifies to 1+2i^2+i+2√2. Using the fact that i^2=-1, this simplifies to 1+2(-1)+i+2√2, which equals -1+i+2√2. This does equal the value of the equation when X=-i.