Question

若|a-1|²+(ab-2)²=0,则方程x/ab+x/(a+1)(b+1)+...+x/(a+20

Answer 1

若|a-1|²+(ab-2)²=0,

则a-1=0 a=1

ab-2=0 b=2

x/ab+x/(a+1)(b+1)+...+x/(a+2001)(b+2001)=2002

x/1×2+x/2×3+……+x/2002×2003=2002

x×（1-1/2+1/2-1/3+……+1/2002-1/2003）=2002

x×（1-1/2003）=2002

x×2002/2003=2002

x=2003