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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(x-(6/x))^2-(6*(x-(6/x)))+5 = 0
(x-6*x^-1)^2-6*(x-6*x^-1)+5 = 0
(x-6*x^-1)^2-6*(x-6*x^-1)+5 = 0
x^2-6*x+36*x^-1+36*x^-2-12+5 = 0
x^2-6*x+36*x^-1+36*x^-2-7 = 0
x^2-6*x+36*x^-1+36*x^-2-7 = 0
1*x^2-6*x^1+36*x^-1+36*x^-2-7*x^0 = 0
(1*x^4-6*x^3-7*x^2+36*x^1+36*x^0)/(x^2) = 0 // * x^4
x^2*(1*x^4-6*x^3-7*x^2+36*x^1+36*x^0) = 0
x^2
x^4-6*x^3-7*x^2+36*x+36 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }
1
x = 1
x^4-6*x^3-7*x^2+36*x+36 = 60
1
-1
x = -1
x^4-6*x^3-7*x^2+36*x+36 = 0
-1
x+1
x^3-7*x^2+36
x^4-6*x^3-7*x^2+36*x+36
x+1
-x^4-x^3
36*x-7*x^3-7*x^2+36
7*x^3+7*x^2
36*x+36
-36*x-36
0
x^3-7*x^2+36 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }
1
x = 1
x^3-7*x^2+36 = 30
1
-1
x = -1
x^3-7*x^2+36 = 28
-1
2
x = 2
x^3-7*x^2+36 = 16
2
-2
x = -2
x^3-7*x^2+36 = 0
-2
x+2
x^2-9*x+18
x^3-7*x^2+36
x+2
-x^3-2*x^2
36-9*x^2
9*x^2+18*x
18*x+36
-18*x-36
0
x^2-9*x+18 = 0
DELTA = (-9)^2-(1*4*18)
DELTA = 9
DELTA > 0
x = (9^(1/2)+9)/(1*2) or x = (9-9^(1/2))/(1*2)
x = 6 or x = 3
x in { 3, 6, -1, -2}
(x-3)*(x-6)*(x+1)*(x+2) = 0
(x-3)*(x-6)*(x+1)*(x+2) = 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-6 )
x-6 = 0 // + 6
x = 6
x in { -1, -2, 3, 6 }
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