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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(25/x)-5 = 0
5*x-25*x^-1-5 = 0
5*x^1-25*x^-1-5*x^0 = 0
(5*x^2-5*x^1-25*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-5*x^1-25*x^0) = 0
x^1
5*x^2-5*x-25 = 0
5*x^2-5*x-25 = 0
DELTA = (-5)^2-(-25*4*5)
DELTA = 525
DELTA > 0
x = (525^(1/2)+5)/(2*5) or x = (5-525^(1/2))/(2*5)
x = (5*21^(1/2)+5)/10 or x = (5-5*21^(1/2))/10
x in { (5-5*21^(1/2))/10, (5*21^(1/2)+5)/10}
x in { (5-5*21^(1/2))/10, (5*21^(1/2)+5)/10 }
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