3x-24/x=x/3

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Solution for 3x-24/x=x/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(24/x) = x/3 // - x/3

3*x-(x/3)-(24/x) = 0

3*x-(x/3)-24*x^-1 = 0

8/3*x^1-24*x^-1 = 0

(8/3*x^2-24*x^0)/(x^1) = 0 // * x^2

x^1*(8/3*x^2-24*x^0) = 0

x^1

(8/3)*x^2-24 = 0

(8/3)*x^2-24 = 0

DELTA = 0^2-(-24*4*(8/3))

DELTA = 256

DELTA > 0

x = (256^(1/2)+0)/(2*(8/3)) or x = (0-256^(1/2))/(2*(8/3))

x = 3 or x = -3

x in { -3, 3} 

x in { -3, 3 }

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