1/(x+10)(x+11)+1/(x+11)(x+12)+1/(x+12)(x+13)+1/x13=1/14
问题描述:
1/(x+10)(x+11)+1/(x+11)(x+12)+1/(x+12)(x+13)+1/x
13=1/14
答
1/(x+10)(x+11)+1/(x+11)(x+12)+1/(x+12)(x+13)+1/(x+13)=1/14
∴1/(x+10)-1/(x+11)+1/(x+11)-1/(x+12)+1/(x+12)-1/(x+13)+1/(x+13)=1/14
∴1/(x+10)=1/14
∴x=4