3x+1/x=4

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Solution for 3x+1/x=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+1/x = 4 // - 4

3*x+1/x-4 = 0

3*x^1+1*x^-1-4*x^0 = 0

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

x^1*(3*x^2-4*x^1+1*x^0) = 0

x^1

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

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

DELTA = (-4)^2-(1*3*4)

DELTA = 4

DELTA > 0

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

x = 1 or x = 1/3

x in { 1/3, 1} 

x in { 1/3, 1 }

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