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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(x-(18/x))^2-(4*(x-(18/x)))-21 = 0
(x-18*x^-1)^2-4*(x-18*x^-1)-21 = 0
(x-18*x^-1)^2-4*(x-18*x^-1)-21 = 0
x^2-4*x+72*x^-1+324*x^-2-36-21 = 0
x^2-4*x+72*x^-1+324*x^-2-57 = 0
x^2-4*x+72*x^-1+324*x^-2-57 = 0
1*x^2-4*x^1+72*x^-1+324*x^-2-57*x^0 = 0
(1*x^4-4*x^3-57*x^2+72*x^1+324*x^0)/(x^2) = 0 // * x^4
x^2*(1*x^4-4*x^3-57*x^2+72*x^1+324*x^0) = 0
x^2
x^4-4*x^3-57*x^2+72*x+324 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 27, -27, 36, -36, 54, -54, 81, -81, 108, -108, 162, -162, 324, -324 }
1
x = 1
x^4-4*x^3-57*x^2+72*x+324 = 336
1
-1
x = -1
x^4-4*x^3-57*x^2+72*x+324 = 200
-1
2
x = 2
x^4-4*x^3-57*x^2+72*x+324 = 224
2
-2
x = -2
x^4-4*x^3-57*x^2+72*x+324 = 0
-2
x+2
x^3-6*x^2-45*x+162
x^4-4*x^3-57*x^2+72*x+324
x+2
-x^4-2*x^3
72*x-6*x^3-57*x^2+324
6*x^3+12*x^2
72*x-45*x^2+324
45*x^2+90*x
162*x+324
-162*x-324
0
x^3-6*x^2-45*x+162 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18, 27, -27, 54, -54, 81, -81, 162, -162 }
1
x = 1
x^3-6*x^2-45*x+162 = 112
1
-1
x = -1
x^3-6*x^2-45*x+162 = 200
-1
2
x = 2
x^3-6*x^2-45*x+162 = 56
2
-2
x = -2
x^3-6*x^2-45*x+162 = 220
-2
3
x = 3
x^3-6*x^2-45*x+162 = 0
3
x-3
x^2-3*x-54
x^3-6*x^2-45*x+162
x-3
3*x^2-x^3
162-3*x^2-45*x
3*x^2-9*x
162-54*x
54*x-162
0
x^2-3*x-54 = 0
DELTA = (-3)^2-(-54*1*4)
DELTA = 225
DELTA > 0
x = (225^(1/2)+3)/(1*2) or x = (3-225^(1/2))/(1*2)
x = 9 or x = -6
x in { -6, 9, -2, 3}
(x+6)*(x-9)*(x+2)*(x-3) = 0
(x+6)*(x-9)*(x+2)*(x-3) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x+6 )
x+6 = 0 // - 6
x = -6
( x-3 )
x-3 = 0 // + 3
x = 3
( x-9 )
x-9 = 0 // + 9
x = 9
x in { -2, -6, 3, 9 }
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