What are the solutions to the equation x^4+3x^2+2=0?

i, - i, 2i, - 2i

Step-by-step explanation:

We can factor this as follows:-

x^4 + 3x^2 + 2 = 0

(x^2 + 1) (x^2 + 2) = 0

By the zero product postulate:-

x^2 + 1 = 0 or x^2 + 2 = 0

x^2 + 1 = 0

x = + / - √-1 = i, - i

x^2 + 2 = 0

x = + / - √-2 = 2 √-1, - 2√-1 = 2i; - 2i.