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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
8*x-(16/x) = 5/3 // - 5/3
8*x-(16/x)-(5/3) = 0
8*x-16*x^-1-5/3 = 0
8*x^1-16*x^-1-5/3*x^0 = 0
(8*x^2-5/3*x^1-16*x^0)/(x^1) = 0 // * x^2
x^1*(8*x^2-5/3*x^1-16*x^0) = 0
x^1
8*x^2+(-5/3)*x-16 = 0
8*x^2+(-5/3)*x-16 = 0
DELTA = (-5/3)^2-(-16*4*8)
DELTA = 4633/9
DELTA > 0
x = ((4633/9)^(1/2)-(-5/3))/(2*8) or x = (-(-5/3)-(4633/9)^(1/2))/(2*8)
x = ((4633/9)^(1/2)+5/3)/16 or x = (5/3-(4633/9)^(1/2))/16
x in { (5/3-(4633/9)^(1/2))/16, ((4633/9)^(1/2)+5/3)/16}
x in { (5/3-(4633/9)^(1/2))/16, ((4633/9)^(1/2)+5/3)/16 }
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