X-1/X=1

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Solution for X-1/X=1 equation: 


D( X )

X = 0

X = 0

X = 0

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

X-(1/X) = 1 // - 1

X-(1/X)-1 = 0

X-X^-1-1 = 0

1*X^1-1*X^-1-1*X^0 = 0

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

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

X^1

X^2-X-1 = 0

X^2-X-1 = 0

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

DELTA = 5

DELTA > 0

X = (5^(1/2)+1)/(1*2) or X = (1-5^(1/2))/(1*2)

X = (5^(1/2)+1)/2 or X = (1-5^(1/2))/2

X in { (1-5^(1/2))/2, (5^(1/2)+1)/2} 

X in { (1-5^(1/2))/2, (5^(1/2)+1)/2 }

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