2x-1/2x^-3/2=0

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Solution for 2x-1/2x^-3/2=0 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

2*x-(((1/2)*x^-3)/2) = 0

2*x+(-1/4)*x^-3 = 0

2*x-1/4*x^-3 = 0

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

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

x^-4 = 8

-4 < 0

1/(x^4) = 8 // * x^4

1 = 8*x^4 // : 8

1/8 = x^4

x^4 = 1/8 // ^ 1/4

abs(x) = (1/8)^(1/4)

x = (1/8)^(1/4) or x = -(1/8)^(1/4)

x = 0

x = 0

x in { 0} 

x in { (1/8)^(1/4), -(1/8)^(1/4) }

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