已知ab=1,2a+b=3,则式子b/2a+2a/b=

问题描述:

已知ab=1,2a+b=3,则式子b/2a+2a/b=

b/2a+2a/b
=(b²+4a²)/2ab
=[(b+2a)²-4ab]/2ab
=(3²-4x1)/2x1
=(9-4)/2
=2.5