3/x=x/12

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Solution for 3/x=x/12 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

3/x-(x/12) = 0

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

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

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

x^1

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

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

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

DELTA = 1

DELTA > 0

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

x = -6 or x = 6

x in { -6, 6} 

x in { -6, 6 }

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