电动动物玩具手工:100/(m-n) + 100/(m+n) = 100 / n

来源:百度文库 编辑:高考问答 时间:2024/04/29 11:24:37
解方程!!

100/(m-n) + 100/(m+n) = 100 / n
100(m-n+m+n)/[(m+n)(m-n)=100/n
100(2m)/(m^2-n^2)=100/n
m^2-n^2=2mn
m^2-2mn+n^2-2n^2=0
(m-n)^2=2n^2

100/(m-n) + 100/(m+n) = 100 / n
200m/(m^2-n^2)=100/n
2m/(m^2-n^2)=1/n
2mn=m^2-n^2
(m-n)^2=2n^2