3x-11/x-11

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Solution for 3x-11/x-11 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(11/x)-11 = 0

3*x-11*x^-1-11 = 0

3*x^1-11*x^-1-11*x^0 = 0

(3*x^2-11*x^1-11*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-11*x^1-11*x^0) = 0

x^1

3*x^2-11*x-11 = 0

3*x^2-11*x-11 = 0

DELTA = (-11)^2-(-11*3*4)

DELTA = 253

DELTA > 0

x = (253^(1/2)+11)/(2*3) or x = (11-253^(1/2))/(2*3)

x = (253^(1/2)+11)/6 or x = (11-253^(1/2))/6

x in { (11-253^(1/2))/6, (253^(1/2)+11)/6} 

x in { (11-253^(1/2))/6, (253^(1/2)+11)/6 }

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