equation Find the solutions of x^4 - 3x^2 + 2 = 0

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We have to solve x^4 - 3x^2 + 2 = 0

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

=> x^4 - 2x^2 - x^2 + 2 = 0

=> x^2(x^2 - 2) - 1(x^2 - 2) = 0

=> (x^2 - 1)(x^2 - 2) = 0

x^2 = 1

=> x = 1 , x = -1

x^2 = 2

=> x = sqrt 2, x = -sqrt 2

Th solutions of the equation are (-sqrt 2, -1, 1, sqrt 2)

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