4x-11/x-2

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Solution for 4x-11/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(11/x)-2 = 0

4*x-11*x^-1-2 = 0

4*x^1-11*x^-1-2*x^0 = 0

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

x^1*(4*x^2-2*x^1-11*x^0) = 0

x^1

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

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

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

DELTA = 180

DELTA > 0

x = (180^(1/2)+2)/(2*4) or x = (2-180^(1/2))/(2*4)

x = (6*5^(1/2)+2)/8 or x = (2-6*5^(1/2))/8

x in { (2-6*5^(1/2))/8, (6*5^(1/2)+2)/8} 

x in { (2-6*5^(1/2))/8, (6*5^(1/2)+2)/8 }

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