一道数学题
长方形的周长为16厘米,它的两边x,y为整数,且满足x-y-x^2+2xy-y^2+2=0,求其面积
参考答案:2(x+y)=16解得x+y=8
x-y-x^2+2xy-y^2+2=0
(x-y)-(x-y)^2+2=0
(x-y)^2-(x-y)-2=0
(x-y-2)(x-y+1)=0
(x-y-2)和(x-y+1)分别与x+y=8组成方程组,解得x=5,y=3另外一组不是整数解,所以不要
长方形的周长为16厘米,它的两边x,y为整数,且满足x-y-x^2+2xy-y^2+2=0,求其面积
参考答案:2(x+y)=16解得x+y=8
x-y-x^2+2xy-y^2+2=0
(x-y)-(x-y)^2+2=0
(x-y)^2-(x-y)-2=0
(x-y-2)(x-y+1)=0
(x-y-2)和(x-y+1)分别与x+y=8组成方程组,解得x=5,y=3另外一组不是整数解,所以不要