已知(x+y)(x+y-10)+25=0,且x-y=2,求x,y的值?

问题描述:

已知(x+y)(x+y-10)+25=0,且x-y=2,求x,y的值?

(x+y)(x+y-10)+25=0,
(x+y)²-10(x+y)+25=0
(x+y-5)²=0
x+y-5=0
x+y=5
∵x-y=2
∴x=3.5,y=1.5