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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
12-(8*x)-((3*x)/(x^2))+16 = 0
12-8*x-3*x^-1+16 = 0
28*x^0-8*x^1-3*x^-1 = 0
(28*x^1-8*x^2-3*x^0)/(x^1) = 0 // * x^2
x^1*(28*x^1-8*x^2-3*x^0) = 0
x^1
28*x-8*x^2-3 = 0
28*x-8*x^2-3 = 0
DELTA = 28^2-(-8*(-3)*4)
DELTA = 688
DELTA > 0
x = (688^(1/2)-28)/(-8*2) or x = (-688^(1/2)-28)/(-8*2)
x = (4*43^(1/2)-28)/(-16) or x = (-4*43^(1/2)-28)/(-16)
x in { (4*43^(1/2)-28)/(-16), (-4*43^(1/2)-28)/(-16)}
x in { (4*43^(1/2)-28)/(-16), (-4*43^(1/2)-28)/(-16) }
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