(3/x-1)-(x+1/x)

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Solution for (3/x-1)-(x+1/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x-x-(1/x)-1 = 0

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

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

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

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

x^1

2-x^2-x = 0

2-x^2-x = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(-1*2) or x = (1-9^(1/2))/(-1*2)

x = -2 or x = 1

x in { -2, 1} 

x in { -2, 1 }

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