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

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Solution for ((x^4)/4)-(8*(x^2))=0 equation: 


x in (-oo:+oo)

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

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

1/4*x^4-8*x^2 = 0

t_1 = x^2

1/4*t_1^2-8*t_1^1 = 0

1/4*t_1^2-8*t_1 = 0

DELTA = (-8)^2-(0*1/4*4)

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+8)/(1/4*2) or t_1 = (8-64^(1/2))/(1/4*2)

t_1 = 32 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 = 32

x^2-32 = 0

1*x^2 = 32 // : 1

x^2 = 32

x^2 = 32 // ^ 1/2

abs(x) = 4*2^(1/2)

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

x in { 0, 4*2^(1/2), -(4*2^(1/2)) }

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