1/4x^4-2x^2

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Solution for 1/4x^4-2x^2 equation:


x in (-oo:+oo)

(1/4)*x^4-(2*x^2) = 0

(1/4)*x^4-2*x^2 = 0

1/4*x^4-2*x^2 = 0

t_1 = x^2

1/4*t_1^2-2*t_1^1 = 0

1/4*t_1^2-2*t_1 = 0

DELTA = (-2)^2-(0*1/4*4)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+2)/(1/4*2) or t_1 = (2-4^(1/2))/(1/4*2)

t_1 = 8 or t_1 = 0

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 8

x^2-8 = 0

1*x^2 = 8 // : 1

x^2 = 8

x^2 = 8 // ^ 1/2

abs(x) = 2*2^(1/2)

x = 2*2^(1/2) or x = -(2*2^(1/2))

x in { 0, 2*2^(1/2), -(2*2^(1/2)) }

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