已知x/y=7/2,求2x+3xy+2y/x+2xy+y的值
问题描述:
已知x/y=7/2,求2x+3xy+2y/x+2xy+y的值
答
已知x/y=7/2,
(2x²+3xy+2y²)/(x²+2xy+y²)
=(2x/y+3+2y/x)/(x/y+2+y/x)
=(2×7/2+3+2×2/7)/(7/2+2+2/7)
=72/7/(81/14)
=32/9