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D( x )
x-2 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:+oo)
(4*x^3+4*x^2-(7*x)+2)/(x-2) = 0
(4*x^3+4*x^2-7*x+2)/(x-2) = 0
4*x^3+4*x^2-7*x+2 = 0
4*x^3+4*x^2-7*x+2 = 0
{ 1, -1, 2, -2 }
1
x = 1
4*x^3+4*x^2-7*x+2 = 3
1
-1
x = -1
4*x^3+4*x^2-7*x+2 = 9
-1
2
x = 2
4*x^3+4*x^2-7*x+2 = 36
2
-2
x = -2
4*x^3+4*x^2-7*x+2 = 0
-2
x+2
4*x^2-4*x+1
4*x^3+4*x^2-7*x+2
x+2
-4*x^3-8*x^2
2-4*x^2-7*x
4*x^2+8*x
x+2
-x-2
0
4*x^2-4*x+1 = 0
DELTA = (-4)^2-(1*4*4)
DELTA = 0
x = 4/(2*4)
x = 1/2 or x = 1/2
x in { 1/2, 1/2, -2}
(x-1/2)^2*(x+2) = 0
((x-1/2)^2*(x+2))/(x-2) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
x in { -2, 1/2, 1/2 }
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