x=1/x-2

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Solution for x=1/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 1/x-2 // - 1/x-2

x-(1/x)+2 = 0

x-x^-1+2 = 0

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

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

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

x^1

x^2+2*x-1 = 0

x^2+2*x-1 = 0

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

DELTA = 8

DELTA > 0

x = (8^(1/2)-2)/(1*2) or x = (-8^(1/2)-2)/(1*2)

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

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

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

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