12x-3/x-5

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Solution for 12x-3/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

12*x-(3/x)-5 = 0

12*x-3*x^-1-5 = 0

12*x^1-3*x^-1-5*x^0 = 0

(12*x^2-5*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(12*x^2-5*x^1-3*x^0) = 0

x^1

12*x^2-5*x-3 = 0

12*x^2-5*x-3 = 0

DELTA = (-5)^2-(-3*4*12)

DELTA = 169

DELTA > 0

x = (169^(1/2)+5)/(2*12) or x = (5-169^(1/2))/(2*12)

x = 3/4 or x = -1/3

x in { -1/3, 3/4} 

x in { -1/3, 3/4 }

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