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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(1/x)-2 < 2 // - 2
5*x-(1/x)-2-2 < 0
5*x-x^-1-2-2 < 0
5*x-x^-1-2-2 = 0
5*x^1-1*x^-1-4*x^0 = 0
(5*x^2-4*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-4*x^1-1*x^0) = 0
x^1
5*x^2-4*x-1 = 0
5*x^2-4*x-1 = 0
DELTA = (-4)^2-(-1*4*5)
DELTA = 36
DELTA > 0
x = (36^(1/2)+4)/(2*5) or x = (4-36^(1/2))/(2*5)
x = 1 or x = -1/5
x in { -1/5, 1}
(x+1/5)*(x-1) < 0
(-oo:-1/5) (-1/5:1) (1:+oo) x+1/5 - + + x-1 - - +
x in (-1/5:0) U (0:1)
(-1/5:0) U (0:1)
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