2x+3/x-11=7

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Solution for 2x+3/x-11=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+3/x-11 = 7 // - 7

2*x+3/x-11-7 = 0

2*x^1+3*x^-1-18*x^0 = 0

(2*x^2-18*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-18*x^1+3*x^0) = 0

x^1

2*x^2-18*x+3 = 0

2*x^2-18*x+3 = 0

DELTA = (-18)^2-(2*3*4)

DELTA = 300

DELTA > 0

x = (300^(1/2)+18)/(2*2) or x = (18-300^(1/2))/(2*2)

x = (10*3^(1/2)+18)/4 or x = (18-10*3^(1/2))/4

x in { (18-10*3^(1/2))/4, (10*3^(1/2)+18)/4} 

x in { (18-10*3^(1/2))/4, (10*3^(1/2)+18)/4 }

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