3/3-x-1/x-6=0

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Solution for 3/3-x-1/x-6=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/3-x-(1/x)-6 = 0

3/3-x-x^-1-6 = 0

-1*x^1-1*x^-1-5*x^0 = 0

(-1*x^2-5*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(-1*x^2-5*x^1-1*x^0) = 0

x^1

-x^2-5*x-1 = 0

-x^2-5*x-1 = 0

DELTA = (-5)^2-(-1*(-1)*4)

DELTA = 21

DELTA > 0

x = (21^(1/2)+5)/(-1*2) or x = (5-21^(1/2))/(-1*2)

x = (21^(1/2)+5)/(-2) or x = (5-21^(1/2))/(-2)

x in { (21^(1/2)+5)/(-2), (5-21^(1/2))/(-2)} 

x in { (21^(1/2)+5)/(-2), (5-21^(1/2))/(-2) }

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