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x in (-oo:+oo)
(4*(x+1)^1)/2-((5*(x+1)^3)/2)+((x+1)^5)/2 = 0
(4*(x+1))/2+(-5/2)*(x+1)^3+((x+1)^5)/2 = 0
(4*(x+1))/2-5/2*(x+1)^3+((x+1)^5)/2 = 0
(4*(x+1))/2+(-5/2*2*(x+1)^3)/2+((x+1)^5)/2 = 0
4*(x+1)-5/2*2*(x+1)^3+(x+1)^5 = 0
x^5+5*x^4-5*x^3+10*x^3-15*x^2+10*x^2-11*x+5*x-1+1 = 0
x^5+5*x^4+5*x^3-5*x^2-6*x = 0
x^5+5*x^4+5*x^3-5*x^2-6*x = 0
x*(x^4+5*x^3+5*x^2-5*x-6) = 0
x^4+5*x^3+5*x^2-5*x-6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
x = 1
x^4+5*x^3+5*x^2-5*x-6 = 0
1
x-1
x^3+6*x^2+11*x+6
x^4+5*x^3+5*x^2-5*x-6
x-1
x^3-x^4
6*x^3+5*x^2-5*x-6
6*x^2-6*x^3
11*x^2-5*x-6
11*x-11*x^2
6*x-6
6-6*x
0
x^3+6*x^2+11*x+6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
x = 1
x^3+6*x^2+11*x+6 = 24
1
-1
x = -1
x^3+6*x^2+11*x+6 = 0
-1
x+1
x^2+5*x+6
x^3+6*x^2+11*x+6
x+1
-x^3-x^2
5*x^2+11*x+6
-5*x^2-5*x
6*x+6
-6*x-6
0
x^2+5*x+6 = 0
DELTA = 5^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)
x = -2 or x = -3
x in { -3, -2, 1, -1}
x*(x+3)*(x+2)*(x-1)*(x+1) = 0
(x*(x+3)*(x+2)*(x-1)*(x+1))/2 = 0
(x*(x+3)*(x+2)*(x-1)*(x+1))/2 = 0 // * 2
x*(x+3)*(x+2)*(x-1)*(x+1) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x+2 )
x+2 = 0 // - 2
x = -2
( x+3 )
x+3 = 0 // - 3
x = -3
( x-1 )
x-1 = 0 // + 1
x = 1
( x )
x = 0
x in { -1, -2, -3, 1, 0 }
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