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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
16*x-((5/8)*x)+3 = 8/x // - 8/x
16*x-((5/8)*x)-(8/x)+3 = 0
16*x+(-5/8)*x-8*x^-1+3 = 0
123/8*x^1-8*x^-1+3*x^0 = 0
(123/8*x^2+3*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(123/8*x^2+3*x^1-8*x^0) = 0
x^1
(123/8)*x^2+3*x-8 = 0
(123/8)*x^2+3*x-8 = 0
DELTA = 3^2-(-8*4*(123/8))
DELTA = 501
DELTA > 0
x = (501^(1/2)-3)/(2*(123/8)) or x = (-501^(1/2)-3)/(2*(123/8))
x = 4/123*(501^(1/2)-3) or x = -4/123*(501^(1/2)+3)
x in { -4/123*(501^(1/2)+3), 4/123*(501^(1/2)-3)}
x in { -4/123*(501^(1/2)+3), 4/123*(501^(1/2)-3) }
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