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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(5/x) = 12 // - 12
3*x-(5/x)-12 = 0
3*x-5*x^-1-12 = 0
3*x^1-5*x^-1-12*x^0 = 0
(3*x^2-12*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-12*x^1-5*x^0) = 0
x^1
3*x^2-12*x-5 = 0
3*x^2-12*x-5 = 0
DELTA = (-12)^2-(-5*3*4)
DELTA = 204
DELTA > 0
x = (204^(1/2)+12)/(2*3) or x = (12-204^(1/2))/(2*3)
x = (2*51^(1/2)+12)/6 or x = (12-2*51^(1/2))/6
x in { (12-2*51^(1/2))/6, (2*51^(1/2)+12)/6}
x in { (12-2*51^(1/2))/6, (2*51^(1/2)+12)/6 }
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