x-(2/x)=-1

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Solution for x-(2/x)=-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(2/x) = -1 // + 1

x-(2/x)+1 = 0

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

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

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

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

x^1

x^2+x-2 = 0

x^2+x-2 = 0

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

DELTA = 9

DELTA > 0

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

x = 1 or x = -2

x in { -2, 1} 

x in { -2, 1 }

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