x/3-4/x=4/3

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 64/9

DELTA > 0

x = ((64/9)^(1/2)-(-4/3))/(2*(1/3)) or x = (-(-4/3)-(64/9)^(1/2))/(2*(1/3))

x = 6 or x = -2

x in { -2, 6} 

x in { -2, 6 }

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