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> 方程x2-xy-5x+5y-1=0的整数解是______或______.-数学
方程x2-xy-5x+5y-1=0的整数解是______或______.-数学
题目简介
方程x2-xy-5x+5y-1=0的整数解是______或______.-数学
题目详情
方程x
2
-xy-5x+5y-1=0的整数解是 ______或 ______.
题型:填空题
难度:中档
来源:不详
答案
∵x2-xy-5x+5y-1=0
∴x(x-y)-5(x-y)=1
∴(x-5)(x-y)=1,
∵x,y为整数,则x-5为整数,x-y为整数,整数的乘积=1,
则x-5=1,x-y=1或x-5=-1,x-y=-1,
解得:
x=6
y=5
或
x=4
y=5
故填:
x=6
y=5
或
x=4
y=5
上一篇 :
________was most important t
下一篇 :
It doesn’t matter ________
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题目简介
方程x2-xy-5x+5y-1=0的整数解是______或______.-数学
题目详情
答案
∴x(x-y)-5(x-y)=1
∴(x-5)(x-y)=1,
∵x,y为整数,则x-5为整数,x-y为整数,整数的乘积=1,
则x-5=1,x-y=1或x-5=-1,x-y=-1,
解得:
故填: