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D( x )
4*x-8 = 0
4*x-8 = 0
4*x-8 = 0
4*x-8 = 0 // + 8
4*x = 8 // : 4
x = 8/4
x = 2
x in (-oo:2) U (2:+oo)
(16*x^3+4*x^2-144)/(4*x-8) = 0
16*x^3+4*x^2-144 = 0
4*(4*x^3+x^2-36) = 0
4*x^3+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
4*x^3+x^2-36 = -31
1
-1
x = -1
4*x^3+x^2-36 = -39
-1
2
x = 2
4*x^3+x^2-36 = 0
2
x-2
4*x^2+9*x+18
4*x^3+x^2-36
x-2
8*x^2-4*x^3
9*x^2-36
18*x-9*x^2
18*x-36
36-18*x
0
4*x^2+9*x+18 = 0
DELTA = 9^2-(4*4*18)
DELTA = -207
DELTA < 0
x in { 2}
4*(x-2) = 0
(4*(x-2))/(4*x-8) = 0
x-2 = 0 // + 2
x = 2
x in { 2}
x belongs to the empty set
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