若x+y=6,xy=8,试求出x²+y²+3/2xy的值.

若x+y=6,xy=8,试求出x²+y²+3/2xy的值.
若x+y=6,xy=8,试求出x²+y²+3/2xy的值.

若x+y=6,xy=8,试求出x²+y²+3/2xy的值.
解
x平方+y平方+3/2xy
=(x+y)平方-2xy+3/2xy
=(x+y)平方-1/2xy
=6平方-1/2×8
=36-4
=32