Answer:
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
Step-by-step explanation:
x⁴ - 3x² + 2 = 0
x^2×2 - 3x² + 2 = 0
(x²)² - 3x² + 2 = 0
t² - 3t + 2 = 0
t = 1, t = 2
x² = 1, x² = 2
x = -1, x = 1
x = - square root 2, x = square root 2
[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]
