((2/x)^0.5-(x/2)^0.5)^2

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Solution for ((2/x)^0.5-(x/2)^0.5)^2 equation: 


D( x )

2/x < 0

x = 0

x/2 < 0

2/x < 0

2/x < 0

2*x^-1 < 0

2*x^-1 < 0 // : 2

x^-1 < 0/2

x^-1 < 0

1/(x^1) < 0

x <> 0

1/(x^1) < 0 // * x^2

(x^2)/(x^1) < 0

x^1 < 0

x < 0

x in (-oo:0)

x = 0

x = 0

x/2 < 0

x/2 < 0

1/2*x+0 < 0 // - 0

1/2*x < 0 // : 1/2

x < 0/1/2

x < 0

x in (0:+oo)

((2/x)^0.5-(x/2)^0.5)^2 = 0

(2^0.5*x^-0.5-(1/2)^0.5*x^0.5)^2 = 0

2^0.5*x^-0.5-(1/2)^0.5*x^0.5 = 0

x^-0.5*(2^0.5-(1/2)^0.5*x) = 0

2^0.5-(1/2)^0.5*x = 0 // - 2^0.5

-(1/2)^0.5*x = -2^0.5 // : -(1/2)^0.5

x = (-2^0.5)/(-(1/2)^0.5)

x = (2^0.5)/((1/2)^0.5)

x^-0.5*(x-((2^0.5)/((1/2)^0.5))) = 0

(x^-0.5)^2*(x-((2^0.5)/((1/2)^0.5)))^2 = 0

( x-((2^0.5)/((1/2)^0.5)) )

x-((2^0.5)/((1/2)^0.5)) = 0 // + (2^0.5)/((1/2)^0.5)

x = (2^0.5)/((1/2)^0.5)

( x^-0.5 )

1*x^-0.5 = 0 // : 1

x^-0.5 = 0

x należy do O

x in { (2^0.5)/((1/2)^0.5), (2^0.5)/((1/2)^0.5) }

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