已知x-y=5,xy=2,求下列各式的值:<1>x눀+y눀 <2>(x+y)눀

2024-12-25 18:46:18
推荐回答(4个)
回答1:

解:<1>x²+y² =(x-y)^2+2xy=5^2+2*2=29
<2>(x+y)²=(x-y)^2+4xy=5^2+4*2=33

回答2:

(x-y)^2+2xy=x^2+y^2=25+4=29

(x-y)^2+4xy=(x+y)^2=25+8=33

回答3:

(1)x^2+y^2=(x+y)^2-2xy=21
(x-y)^2=(x+y)^2-4xy=17

回答4:

x²+y² =25+2X2=29
(x+y)²=29-2X2=25