x^2+4y^2-2xy+12y+12=0,求x^y的值

2025-06-25 04:12:29
推荐回答(2个)
回答1:

x^2+4y^2-2xy+12y+12
=x^2-2xy+y^2+3(y^2+4y+4)
=(x-y)^2+3(y+2)^2
=0
所以:x-y=0,y-2=0
即x=y=-2
则x^y=(-2)^(-2)=1/(-2)^2=1/4

回答2:

(x-y)²+3(y+2)²=0,x=y,y=-2,x^y=1/4.