3x+5/x=16

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Solution for 3x+5/x=16 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+5/x = 16 // - 16

3*x+5/x-16 = 0

3*x^1+5*x^-1-16*x^0 = 0

(3*x^2-16*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-16*x^1+5*x^0) = 0

x^1

3*x^2-16*x+5 = 0

3*x^2-16*x+5 = 0

DELTA = (-16)^2-(3*4*5)

DELTA = 196

DELTA > 0

x = (196^(1/2)+16)/(2*3) or x = (16-196^(1/2))/(2*3)

x = 5 or x = 1/3

x in { 1/3, 5} 

x in { 1/3, 5 }

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