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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
25*x-50 = -23/x // + -23/x
25*x-(-23/x)-50 = 0
25*x+23*x^-1-50 = 0
25*x^1+23*x^-1-50*x^0 = 0
(25*x^2-50*x^1+23*x^0)/(x^1) = 0 // * x^2
x^1*(25*x^2-50*x^1+23*x^0) = 0
x^1
25*x^2-50*x+23 = 0
25*x^2-50*x+23 = 0
DELTA = (-50)^2-(4*23*25)
DELTA = 200
DELTA > 0
x = (200^(1/2)+50)/(2*25) or x = (50-200^(1/2))/(2*25)
x = (10*2^(1/2)+50)/50 or x = (50-10*2^(1/2))/50
x in { (50-10*2^(1/2))/50, (10*2^(1/2)+50)/50}
x in { (50-10*2^(1/2))/50, (10*2^(1/2)+50)/50 }
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