|X^2-4|<=x+2
(1)x^2-4>=0,即x>=2,x<=-2
x^2-4<=x+2
x^2-x-6<=0
(x-3)(x+2)<=0
-2<=x<=3
即2<=x<=3,x=-2.
(2)x^2-4<0,即-24-x^2<=x+2
x^2+x-2>=0
(x+2)(x-1)>=0
x>=1,x<=-2
即1<=x<2.
综上所述,x=-2或1<=x<=3