3x-3/x+1

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Solution for 3x-3/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(3/x)+1 = 0

3*x-3*x^-1+1 = 0

3*x^1-3*x^-1+1*x^0 = 0

(3*x^2+1*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2+1*x^1-3*x^0) = 0

x^1

3*x^2+x-3 = 0

3*x^2+x-3 = 0

DELTA = 1^2-(-3*3*4)

DELTA = 37

DELTA > 0

x = (37^(1/2)-1)/(2*3) or x = (-37^(1/2)-1)/(2*3)

x = (37^(1/2)-1)/6 or x = (-(37^(1/2)+1))/6

x in { (-(37^(1/2)+1))/6, (37^(1/2)-1)/6} 

x in { (-(37^(1/2)+1))/6, (37^(1/2)-1)/6 }

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