x-(6/x)=1

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Solution for x-(6/x)=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(6/x) = 1 // - 1

x-(6/x)-1 = 0

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

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

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

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

x^1

x^2-x-6 = 0

x^2-x-6 = 0

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

DELTA = 25

DELTA > 0

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

x = 3 or x = -2

x in { -2, 3} 

x in { -2, 3 }

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