满足x²-y²=2011的整数对(x,y)的组数是

问题描述:

满足x²-y²=2011的整数对(x,y)的组数是

2011是质数,2011=1*2011=-1*(-2011)
x²-y²=(x+y)(x-y)
分别对应相等可得(1006,1005)(1006,-1005)(-1006,1005)(-1006,-1005)四组