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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/8 = x-(1/x)-4 // - x-(1/x)-4
1/x-x+5/8+4 = 0
1*x^-1-1*x^1+37/8*x^0 = 0
(37/8*x^1-1*x^2+1*x^0)/(x^1) = 0 // * x^2
x^1*(37/8*x^1-1*x^2+1*x^0) = 0
x^1
(37/8)*x-x^2+1 = 0
(37/8)*x-x^2+1 = 0
DELTA = (37/8)^2-(-1*1*4)
DELTA = 1625/64
DELTA > 0
x = ((1625/64)^(1/2)-(37/8))/(-1*2) or x = (-(37/8)-(1625/64)^(1/2))/(-1*2)
x = ((1625/64)^(1/2)-37/8)/(-2) or x = ((1625/64)^(1/2)+37/8)/2
x in { ((1625/64)^(1/2)-37/8)/(-2), ((1625/64)^(1/2)+37/8)/2}
x in { ((1625/64)^(1/2)-37/8)/(-2), ((1625/64)^(1/2)+37/8)/2 }
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