(-2/4x^2)-(-48/8x^4)

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Solution for (-2/4x^2)-(-48/8x^4) equation:


x in (-oo:+oo)

(-2/4)*x^2-((-48/8)*x^4) = 0

6*x^4+(-2/4)*x^2 = 0

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

t_1 = x^2

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

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

DELTA = (-1/2)^2-(0*4*6)

DELTA = 1/4

DELTA > 0

t_1 = ((1/4)^(1/2)+1/2)/(2*6) or t_1 = (1/2-(1/4)^(1/2))/(2*6)

t_1 = 1/12 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 = 1/12

x^2-1/12 = 0

1*x^2 = 1/12 // : 1

x^2 = 1/12

x^2 = 1/12 // ^ 1/2

abs(x) = (1/12)^(1/2)

x = (1/12)^(1/2) or x = -(1/12)^(1/2)

x in { 0, (1/12)^(1/2), -(1/12)^(1/2) }

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