x^-1/(2x)-3

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Solution for x^-1/(2x)-3 equation: 


D( x )

x = 0

2*x = 0

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

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

1/2*x^-2 = 3 // : 1/2

x^-2 = 6

-2 < 0

1/(x^2) = 6 // * x^2

1 = 6*x^2 // : 6

1/6 = x^2

x^2 = 1/6 // ^ 1/2

abs(x) = (1/6)^(1/2)

x = (1/6)^(1/2) or x = -(1/6)^(1/2)

x in { (1/6)^(1/2), -(1/6)^(1/2) }

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