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D( x )
25/(x^2)-(10/x)+1 = 0
x = 0
x^2 = 0
25/(x^2)-(10/x)+1 = 0
25/(x^2)-(10/x)+1 = 0
25/(x^2)-10*x^-1+1 = 0
25*x^-2-10*x^-1+1 = 0
t_1 = x^-1
25*t_1^2-10*t_1^1+1 = 0
25*t_1^2-10*t_1+1 = 0
DELTA = (-10)^2-(1*4*25)
DELTA = 0
t_1 = 10/(2*25)
t_1 = 1/5 or t_1 = 1/5
t_1 = 1/5
x^-1-1/5 = 0
1*x^-1 = 1/5 // : 1
x^-1 = 1/5
-1 < 0
1/(x^1) = 1/5 // * x^1
1 = 1/5*x^1 // : 1/5
5 = x^1
x = 5
t_1 = 1/5
x^-1-1/5 = 0
1*x^-1 = 1/5 // : 1
x^-1 = 1/5
-1 < 0
1/(x^1) = 1/5 // * x^1
1 = 1/5*x^1 // : 1/5
5 = x^1
x = 5
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:5) U (5:+oo)
(1-(25/(x^2)))/(25/(x^2)-(10/x)+1) = 0
(1-25*x^-2)/(25/(x^2)-10*x^-1+1) = 0
(1-25*x^-2)/(25*x^-2-10*x^-1+1) = 0
25*x^-2-10*x^-1+1 = 0
25*x^-2-10*x^-1+1*x^0 = 0
(1*x^2-10*x^1+25*x^0)/(x^2) = 0 // * x^4
x^2*(1*x^2-10*x^1+25*x^0) = 0
x^2
x^2-10*x+25 = 0
x^2-10*x+25 = 0
DELTA = (-10)^2-(1*4*25)
DELTA = 0
x = 10/(1*2)
x = 5 or x = 5
x in { 5, 5}
(x-5)^2 = 0
(1-25*x^-2)/((x-5)^2) = 0
-25*x^-2 = -1 // : -25
x^-2 = 1/25
-2 < 0
1/(x^2) = 1/25 // * x^2
1 = 1/25*x^2 // : 1/25
25 = x^2
x^2 = 25 // ^ 1/2
abs(x) = 5
x = 5 or x = -5
x in { 5}
x = -5
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