若x、y为正整数,且满足x(x+y)-y(x+y)=11,求x,y的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 09:15:27
x){ѽqCc]lgS7<1/mШЮԭS:66UT>aMR>El(w
0QQ@+Pnhl[V,{dҧ^4n
,4ikbWؚTښ$AaD(h*h+Dbi` v(BȊDT0ԫ zV!RV*fČl Z
若x、y为正整数,且满足x(x+y)-y(x+y)=11,求x,y的值
若x、y为正整数,且满足x(x+y)-y(x+y)=11,求x,y的值
若x、y为正整数,且满足x(x+y)-y(x+y)=11,求x,y的值
x(x+y)-y(x+y)=(x+y)(x-y)=11,又因为xy为正整数且11是质数,所以只能是11×1=11,所以x+y=11,x-y=1,解得x=6,y=5
X +1 + Y(X +1)= 6
(X +1)(Y +1)= 6
1.x的= Y = 1
2.X = 1 Y = 2