把ab(1/a+1/b)=2ab。…1 4a方=25b方。…2 连12解出a或b。m就出来了!
2a^2=5b^2,∴2/b^2=5/a^2,①1/a+1/b=2,1/b=2-1/a,②把②代入①,2(4-4/a+1/a^2)=5/a^2,3/a^2+8/a-8=0,1/a=(-4土2√10)/3,a=3/(-4土2√10),M=2[3/(-4土2√10)]^2=(7土2√10)/4.