先化简,在求值(a^2-121/a^2-22a+121-1/11-a)除以(11/a^2-11a),其中实数a满足等式a^2+12a-11=0
问题描述：
先化简,在求值(a^2-121/a^2-22a+121-1/11-a)除以(11/a^2-11a),其中实数a满足等式a^2+12a-11=0
等式我求不出来...
答
a^2+12a-11=0a^2+12a=11a(a+12)=11原式=[(a+11)(a-11)/(a-11)^2+1/(a-11)]×a(a-11)/11=[(a+11)/(a-11)+1/(a-11)]×a(a-11)/11=(a+12)/(a-11)×a(a-11)/11=a(a+12)/11=11/11=1