x/2-4/x=x/3

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Solution for x/2-4/x=x/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/2-(4/x) = x/3 // - x/3

x/2-(x/3)-(4/x) = 0

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

1/6*x^1-4*x^-1 = 0

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

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

x^1

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

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

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

DELTA = 8/3

DELTA > 0

x = ((8/3)^(1/2)+0)/(2*(1/6)) or x = (0-(8/3)^(1/2))/(2*(1/6))

x = 3*(8/3)^(1/2) or x = 3*(8/3)^(1/2)

x in { 3*(8/3)^(1/2), 3*(8/3)^(1/2)} 

x in { 3*(8/3)^(1/2), 3*(8/3)^(1/2) }

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