4/x+4/2x+3=9

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Solution for 4/x+4/2x+3=9 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4/2)*x+4/x+3 = 9 // - 9

(4/2)*x+4/x-9+3 = 0

2*x^1+4*x^-1-6*x^0 = 0

(2*x^2-6*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-6*x^1+4*x^0) = 0

x^1

2*x^2-6*x+4 = 0

2*x^2-6*x+4 = 0

DELTA = (-6)^2-(2*4*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)+6)/(2*2) or x = (6-4^(1/2))/(2*2)

x = 2 or x = 1

x in { 1, 2} 

x in { 1, 2 }

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