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D( x )
5*x^2 = 0
5*x^2 = 0
5*x^2 = 0
5*x^2 = 0 // : 5
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
(4*x^5-(3*x^4))/(5*x^2) = 245 // - 245
(4*x^5-(3*x^4))/(5*x^2)-245 = 0
(4*x^5-3*x^4)/(5*x^2)-245 = 0
(4*x^5-3*x^4)/(5*x^2)+(-245*5*x^2)/(5*x^2) = 0
4*x^5-3*x^4-245*5*x^2 = 0
4*x^5-3*x^4-1225*x^2 = 0
4*x^5-3*x^4-1225*x^2 = 0
x^2*(4*x^3-3*x^2-1225) = 0
4*x^3-3*x^2-1225 = 0
{ 1, -1, 5, -5, 7, -7, 25, -25, 35, -35, 49, -49, 175, -175, 245, -245, 1225, -1225 }
1
x = 1
4*x^3-3*x^2-1225 = -1224
1
-1
x = -1
4*x^3-3*x^2-1225 = -1232
-1
5
x = 5
4*x^3-3*x^2-1225 = -800
5
-5
x = -5
4*x^3-3*x^2-1225 = -1800
-5
7
x = 7
4*x^3-3*x^2-1225 = 0
7
x-7
4*x^2+25*x+175
4*x^3-3*x^2-1225
x-7
28*x^2-4*x^3
25*x^2-1225
175*x-25*x^2
175*x-1225
1225-175*x
0
4*x^2+25*x+175 = 0
DELTA = 25^2-(4*4*175)
DELTA = -2175
DELTA < 0
x in { 7}
x^2*(x-7) = 0
(x^2*(x-7))/(5*x^2) = 0
(x^2*(x-7))/(5*x^2) = 0 // * 5*x^2
x^2*(x-7) = 0
( x-7 )
x-7 = 0 // + 7
x = 7
( x^2 )
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in { 0}
x = 7
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