k^4-k^2+1/4

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Solution for k^4-k^2+1/4 equation: 


k in (-oo:+oo)

k^4-k^2+1/4 = 0

t_1 = k^2

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

t_1^2-t_1+1/4 = 0

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

DELTA = 0

t_1 = 1/(1*2)

t_1 = 1/2 or t_1 = 1/2

t_1 = 1/2

k^2-1/2 = 0

1*k^2 = 1/2 // : 1

k^2 = 1/2

k^2 = 1/2 // ^ 1/2

abs(k) = (1/2)^(1/2)

k = (1/2)^(1/2) or k = -(1/2)^(1/2)

t_1 = 1/2

k^2-1/2 = 0

1*k^2 = 1/2 // : 1

k^2 = 1/2

k^2 = 1/2 // ^ 1/2

abs(k) = (1/2)^(1/2)

k = (1/2)^(1/2) or k = -(1/2)^(1/2)

k in { (1/2)^(1/2), -(1/2)^(1/2), (1/2)^(1/2), -(1/2)^(1/2) }

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