(X+y)的平方=25,(X-y)的平方=9,求xy的值

2025-06-22 01:39:27
推荐回答(2个)
回答1:

因为:(x+y)²-(x-y)²
=x²+2xy+y²-x²+2xy-y²
=4xy
由条件得
(x+y)²-(x-y)²=25-9=16

4xy=16
所以
xy=16÷4
=4

回答2:

xy
=[(x+y)²-(x-y)²]/4
=(25-9)/4
=4