6/x=x-1

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Solution for 6/x=x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = x-1 // - x-1

6/x-x+1 = 0

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

(1*x^1-1*x^2+6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-1*x^2+6*x^0) = 0

x^1

x-x^2+6 = 0

x-x^2+6 = 0

DELTA = 1^2-(-1*4*6)

DELTA = 25

DELTA > 0

x = (25^(1/2)-1)/(-1*2) or x = (-25^(1/2)-1)/(-1*2)

x = -2 or x = 3

x in { -2, 3} 

x in { -2, 3 }

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