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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
X^2-(5*x)-(25/(x^2))-24 = 0
X^2-5*x-25*x^-2-24 = 0
-5*x^1-25*x^-2-24*x^0 = 0
(-5*x^3-24*x^2-25*x^0)/(x^2) = 0 // * x^4
x^2*(-5*x^3-24*x^2-25*x^0) = 0
x^2
-5*x^3-24*x^2-25 = 0
{ 1, -1, 5, -5, 25, -25 }
1
x = 1
-5*x^3-24*x^2-25 = -54
1
-1
x = -1
-5*x^3-24*x^2-25 = -44
-1
5
x = 5
-5*x^3-24*x^2-25 = -1250
5
-5
x = -5
-5*x^3-24*x^2-25 = 0
-5
x+5
x-5*x^2-5
-5*x^3-24*x^2-25
x+5
5*x^3+25*x^2
x^2-25
-x^2-5*x
-5*x-25
5*x+25
0
x-5*x^2-5 = 0
DELTA = 1^2-(-5*(-5)*4)
DELTA = -99
DELTA < 0
x in { -5}
x = -5
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