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D( x )
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0 // + 5
2*x = 5 // : 2
x = 5/2
x in (-oo:5/2) U (5/2:+oo)
(2*x^3-(5*x^2)+5*x+4)/(2*x-5) = 0
(2*x^3-5*x^2+5*x+4)/(2*x-5) = 0
2*x^3-5*x^2+5*x+4 = 0
2*x^3-5*x^2+5*x+4 = 0
{ 1, -1, 2, -2, 4, -4 }
1
x = 1
2*x^3-5*x^2+5*x+4 = 6
1
-1
x = -1
2*x^3-5*x^2+5*x+4 = -8
-1
2
x = 2
2*x^3-5*x^2+5*x+4 = 10
2
-2
x = -2
2*x^3-5*x^2+5*x+4 = -42
-2
4
x = 4
2*x^3-5*x^2+5*x+4 = 72
4
-4
x = -4
2*x^3-5*x^2+5*x+4 = -224
-4
{ 1/2, -1/2, -1/2, 1/2, 2/2, -2/2, -2/2, 2/2, 4/2, -4/2, -4/2, 4/2 }
1/2
x
1/2
2*x^3-5*x^2+5*x+4 = 5.5
1/2
-1/2
x
-1/2
2*x^3-5*x^2+5*x+4 = 0
-1/2
x+1/2
2*x^2-6*x+8
2*x^3-5*x^2+5*x+4
x+1/2
-2*x^3-x^2
5*x-6*x^2+4
6*x^2+3*x
8*x+4
-8*x-4
0
2*x^2-6*x+8 = 0
DELTA = (-6)^2-(2*4*8)
DELTA = -28
DELTA < 0
x in { -1/2}
x+1/2 = 0
(x+1/2)/(2*x-5) = 0
x+1/2 = 0 // - 1/2
x = -1/2
x = -1/2
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