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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(9/25)*x = (5/3)*x^-2 // - (5/3)*x^-2
(9/25)*x-((5/3)*x^-2) = 0
(9/25)*x+(-5/3)*x^-2 = 0
9/25*x^1-5/3*x^-2 = 0
(9/25*x^3-5/3*x^0)/(x^2) = 0 // * x^4
x^2*(9/25*x^3-5/3*x^0) = 0
x^2
(9/25)*x^3-5/3 = 0
(9/25)*x^3-5/3 = 0 // * 0
{ 1, -1, 5, -5, 25, -25, 125, -125 }
1
x = 1
27*x^3-125 = -98
1
-1
x = -1
27*x^3-125 = -152
-1
5
x = 5
27*x^3-125 = 3250
5
-5
x = -5
27*x^3-125 = -3500
-5
25
x = 25
27*x^3-125 = 421750
25
-25
x = -25
27*x^3-125 = -422000
-25
125
x = 125
27*x^3-125 = 52734250
125
-125
x = -125
27*x^3-125 = -52734500
-125
{ 1/3, -1/3, 1/9, -1/9, 1/27, -1/27, -1/3, 1/3, -1/9, 1/9, -1/27, 1/27, 5/3, -5/3, 5/9, -5/9, 5/27, -5/27, -5/3, 5/3, -5/9, 5/9, -5/27, 5/27, 25/3, -25/3, 25/9, -25/9, 25/27, -25/27, -25/3, 25/3, -25/9, 25/9, -25/27, 25/27, 125/3, -125/3, 125/9, -125/9, 125/27, -125/27, -125/3, 125/3, -125/9, 125/9, -125/27, 125/27 }
1/3
x
1/3
27*x^3-125 = -124
1/3
-1/3
x
-1/3
27*x^3-125 = -126
-1/3
1/9
x
1/9
27*x^3-125 = -124.96296296
1/9
-1/9
x
-1/9
27*x^3-125 = -125.03703704
-1/9
1/27
x
1/27
27*x^3-125 = -124.99862826
1/27
-1/27
x
-1/27
27*x^3-125 = -125.00137174
-1/27
-1/3
x
-1/3
27*x^3-125 = -126
-1/3
1/3
x
1/3
27*x^3-125 = -124
1/3
-1/9
x
-1/9
27*x^3-125 = -125.03703704
-1/9
1/9
x
1/9
27*x^3-125 = -124.96296296
1/9
-1/27
x
-1/27
27*x^3-125 = -125.00137174
-1/27
1/27
x
1/27
27*x^3-125 = -124.99862826
1/27
5/3
x
5/3
27*x^3-125 = 0
5/3
x-5/3
27*x^2+45*x+75
27*x^3-125
x-5/3
45*x^2-27*x^3
45*x^2-125
75*x-45*x^2
75*x-125
125-75*x
0
27*x^2+45*x+75 = 0
DELTA = 45^2-(4*27*75)
DELTA = -6075
DELTA < 0
x in { 5/3}
x = 5/3
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