1/(x-2)+k/(x+2)=3/(x²-4)
(x+2)/[(x+2)(x-2)]+k(x-2)/[(x+2)(x-2)]=3/(x²-4)
[kx-2+x+2]/[(x+2)(x-2)]=3/(x²-4)
x(k+1)/(x²-4)=3/(x²-4)
因?yàn)榉匠逃性龈?所以x=2或-2
當(dāng)x=2時(shí),2(k+1)=3,解得k=1/2
當(dāng)x=-2時(shí),-2(k+1)=3,解得k=-5/2

所以k=1/2 或k=-5/2
【希望可以幫到你!祝學(xué)習(xí)快樂!O(∩_∩)O~】