x/3-4/x=1/3

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


D( x )

x = 0

x = 0

x = 0

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

x/3-(4/x) = 1/3 // - 1/3

x/3-(4/x)-(1/3) = 0

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

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

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

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

x^1

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

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

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

DELTA = 49/9

DELTA > 0

x = ((49/9)^(1/2)-(-1/3))/(2*(1/3)) or x = (-(-1/3)-(49/9)^(1/2))/(2*(1/3))

x = 4 or x = -3

x in { -3, 4} 

x in { -3, 4 }

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