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

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Solution for 2x^2-x^4/4=0 equation: 


x in (-oo:+oo)

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

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

t_1 = x^2

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

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

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

DELTA = 4

DELTA > 0

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

t_1 = 0 or t_1 = 8

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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