12x=3/x

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Solution for 12x=3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

12*x-(3/x) = 0

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

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

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

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

x^1

12*x^2-3 = 0

12*x^2-3 = 0

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

DELTA = 144

DELTA > 0

x = (144^(1/2)+0)/(2*12) or x = (0-144^(1/2))/(2*12)

x = 1/2 or x = -1/2

x in { -1/2, 1/2} 

x in { -1/2, 1/2 }

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