已知有理数a,b满足|a+1/2|+|b-1/2|=0求(3/a-7*b)/(a*b)的值
问题描述:
已知有理数a,b满足|a+1/2|+|b-1/2|=0求(3/a-7*b)/(a*b)的值
答
∵|a+1/2|+|b-1/2|=0
∴a=-1/2 b=1/2
∴(3/a-7*b)/(a*b)
=[3/(-1/2)-7*1/2]/(-1/2*1/2)
=(-6-7/2)/(-1/4)
=(-19/2)/(-1/4)
=38