若a=2/3+1,则a2+2a+2的值是_.
问题描述:
若a=
,则a2+2a+2的值是______. 2
+1
3
答
∵a=
=2
+1
3
-1,
3
∴a+1=
,
3
∴a2+2a+2=(a+1)2+1=3+1=4.
故本题答案为:4.