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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x+1/x-(22/5)-1 = 0
5*x+1/x-22/5-1 = 0
5*x^1+1*x^-1-27/5*x^0 = 0
(5*x^2-27/5*x^1+1*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-27/5*x^1+1*x^0) = 0
x^1
5*x^2+(-27/5)*x+1 = 0
5*x^2+(-27/5)*x+1 = 0
DELTA = (-27/5)^2-(1*4*5)
DELTA = 229/25
DELTA > 0
x = ((229/25)^(1/2)-(-27/5))/(2*5) or x = (-(-27/5)-(229/25)^(1/2))/(2*5)
x = ((229/25)^(1/2)+27/5)/10 or x = (27/5-(229/25)^(1/2))/10
x in { (27/5-(229/25)^(1/2))/10, ((229/25)^(1/2)+27/5)/10}
x in { (27/5-(229/25)^(1/2))/10, ((229/25)^(1/2)+27/5)/10 }
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