2x+12/x=11

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Solution for 2x+12/x=11 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+12/x = 11 // - 11

2*x+12/x-11 = 0

2*x^1+12*x^-1-11*x^0 = 0

(2*x^2-11*x^1+12*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-11*x^1+12*x^0) = 0

x^1

2*x^2-11*x+12 = 0

2*x^2-11*x+12 = 0

DELTA = (-11)^2-(2*4*12)

DELTA = 25

DELTA > 0

x = (25^(1/2)+11)/(2*2) or x = (11-25^(1/2))/(2*2)

x = 4 or x = 3/2

x in { 3/2, 4} 

x in { 3/2, 4 }

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