已知:x-y的平方根是±√2,xy的立方根是2, 求值:(1)x눀+y눀;(2)x+y

2025-06-28 22:54:20
推荐回答(4个)
回答1:

xy=8
(x-y)²=x²+y²-2xy
x²+y²=2-2*8=-14
(x+y)²=(x-y)²+4xy
=34
x+y=±√34

回答2:

解:xy=8
1.x²+y²=(x-y)²+2xy=2+16=18
2.x+y=√{(x-y)²+4xy}=√34

回答3:

x²+y²=(x-y)²+2xy=2+2*2的立方根
x+y=√{(x-y)²+4xy}=√(2+4*2的立方根)

回答4:

依题意得:x-y=2;xy=8
x²+y²=(x-y)²+2xy=20;(x+y)²=x²+y²+2xy=36