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D( x )
5-x = 0
x^2-25 = 0
5-x = 0
5-x = 0
5-x = 0 // - 5
-x = -5 // * -1
x = 5
x^2-25 = 0
x^2-25 = 0
1*x^2 = 25 // : 1
x^2 = 25
x^2 = 25 // ^ 1/2
abs(x) = 5
x = 5 or x = -5
x in (-oo:-5) U (-5:5) U (5:+oo)
6/(x^2-25)-(1/(5-x)) = 0
6/(x^2-25)-(5-x)^-1 = 0
6/(x^2-25)-1/(5-x) = 0
(6*(5-x))/((x^2-25)*(5-x))+(-1*(x^2-25))/((x^2-25)*(5-x)) = 0
6*(5-x)-1*(x^2-25) = 0
55-x^2-6*x = 0
55-x^2-6*x = 0
55-x^2-6*x = 0
DELTA = (-6)^2-(-1*4*55)
DELTA = 256
DELTA > 0
x = (256^(1/2)+6)/(-1*2) or x = (6-256^(1/2))/(-1*2)
x = -11 or x = 5
(x+11)*(x-5) = 0
((x+11)*(x-5))/((x^2-25)*(5-x)) = 0
((x+11)*(x-5))/((x^2-25)*(5-x)) = 0 // * (x^2-25)*(5-x)
(x+11)*(x-5) = 0
( x+11 )
x+11 = 0 // - 11
x = -11
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 5}
x = -11
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