解方程1x2/x+2x3/x+.+2009x2010/x=2009
问题描述:
解方程1x2/x+2x3/x+.+2009x2010/x=2009
答
1x2/x+2x3/x+.....+2009x2010/x=2009
(1-1/2+1/2-1/3+……+1/2009-1/2010)x=2009
(1-1/2010)x=2009
2009/2010x=2009
x=2010
答
1x2/x+2x3/x+.+2009x2010/x=2009
x(1x2/1+2x3/1+.+2009x2010/1)=2009
x(1-2/1+2/1-3/1+.+2009/1-2010/1)=2009
x(1-2010/1)=2009
x(2010/2009)=2009
x=2010