The comprehensive score after denominator removal: 2(X+2)+MX=3(X-2).
2X+4+MX=3X-6
(M- 1)X=- 10
pass by
2/[x -2]+MX/[x 2-4] = 3/[x+2] It is known that when X=2 or -2, the equation has an increasing root.
Substituting X=2 into (M- 1)X=- 10, it is obtained.
2(M- 1)=- 10
2M-2=- 10
M=-4
Substitute X=-2 into (M- 1)X=- 10 to obtain
-2(M- 1)=- 10
-2M+2=- 10
M=6
Therefore, when M=-4 or 6, the equation 2/[x-2]+MX/[x 2-4] = 3/[x+2] about x will produce root growth.