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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(25-x)/10 = 10/x // - 10/x
(25-x)/10-(10/x) = 0
(25-x)/10-10*x^-1 = 0
(25-x)/10-10/x = 0
(x*(25-x))/(10*x)+(-10*10)/(10*x) = 0
x*(25-x)-10*10 = 0
25*x-x^2-100 = 0
25*x-x^2-100 = 0
25*x-x^2-100 = 0
DELTA = 25^2-(-100*(-1)*4)
DELTA = 225
DELTA > 0
x = (225^(1/2)-25)/(-1*2) or x = (-225^(1/2)-25)/(-1*2)
x = 5 or x = 20
(x-5)*(x-20) = 0
((x-5)*(x-20))/(10*x) = 0
((x-5)*(x-20))/(10*x) = 0 // * 10*x
(x-5)*(x-20) = 0
( x-20 )
x-20 = 0 // + 20
x = 20
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 20, 5 }
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