12/x=x/3

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Solution for 12/x=x/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

12/x = x/3 // - x/3

12/x-(x/3) = 0

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

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

x^1*(12*x^0-1/3*x^2) = 0

x^1

(-1/3)*x^2+12 = 0

(-1/3)*x^2+12 = 0

DELTA = 0^2-(4*12*(-1/3))

DELTA = 16

DELTA > 0

x = (16^(1/2)+0)/(2*(-1/3)) or x = (0-16^(1/2))/(2*(-1/3))

x = -6 or x = 6

x in { -6, 6} 

x in { -6, 6 }

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