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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/2)*x-(5/x) > 1/8 // - 1/8
(1/2)*x-(5/x)-(1/8) > 0
(1/2)*x-5*x^-1-1/8 > 0
(1/2)*x-5*x^-1-1/8 = 0
1/2*x^1-5*x^-1-1/8*x^0 = 0
(1/2*x^2-1/8*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(1/2*x^2-1/8*x^1-5*x^0) = 0
x^1
(1/2)*x^2+(-1/8)*x-5 = 0
(1/2)*x^2+(-1/8)*x-5 = 0
DELTA = (-1/8)^2-(-5*4*(1/2))
DELTA = 641/64
DELTA > 0
x = ((641/64)^(1/2)-(-1/8))/(2*(1/2)) or x = (-(-1/8)-(641/64)^(1/2))/(2*(1/2))
x = (641/64)^(1/2)+1/8 or x = 1/8-(641/64)^(1/2)
x in { 1/8-(641/64)^(1/2), (641/64)^(1/2)+1/8}
(x+(641/64)^(1/2)-1/8)*(x-(641/64)^(1/2)-1/8) > 0
(-oo:1/8-(641/64)^(1/2)) (1/8-(641/64)^(1/2):(641/64)^(1/2)+1/8) ((641/64)^(1/2)+1/8:+oo) x+(641/64)^(1/2)-1/8 - + + x-(641/64)^(1/2)-1/8 - - +
x in (-oo:1/8-(641/64)^(1/2)) U ((641/64)^(1/2)+1/8:+oo)
(-oo:1/8-(641/64)^(1/2)) U ((641/64)^(1/2)+1/8:+oo)
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