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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x/5 = 2*x-(9/x)-4 // - 2*x-(9/x)-4
x/5-(2*x)+9/x+4 = 0
x/5-2*x+9/x+4 = 0
9*x^-1-9/5*x^1+4*x^0 = 0
(4*x^1-9/5*x^2+9*x^0)/(x^1) = 0 // * x^2
x^1*(4*x^1-9/5*x^2+9*x^0) = 0
x^1
(-9/5)*x^2+4*x+9 = 0
(-9/5)*x^2+4*x+9 = 0
DELTA = 4^2-(4*9*(-9/5))
DELTA = 404/5
DELTA > 0
x = ((404/5)^(1/2)-4)/(2*(-9/5)) or x = (-(404/5)^(1/2)-4)/(2*(-9/5))
x = -5/18*((404/5)^(1/2)-4) or x = 5/18*((404/5)^(1/2)+4)
x in { -5/18*((404/5)^(1/2)-4), 5/18*((404/5)^(1/2)+4)}
x in { -5/18*((404/5)^(1/2)-4), 5/18*((404/5)^(1/2)+4) }
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