Answer:
x = ±i[tex]\sqrt{2}[/tex], x = ±i
Step-by-step explanation:
x^4 + 3x^2 + 2 = 0
x^4 + x^2 + 2x^2 + 2 = 0
x^2 ( x^2 + 1 ) + 2 ( x^2 + 1 ) = 0
( x^2 + 2 ) ( x^2 + 1 ) = 0
x^2 + 2 = 0, x^2 + 1 = 0
x^2 = -2, x^2 = -1
x = ±i[tex]\sqrt{2}[/tex], x = ±i
