x²-y²=1
问题描述:
x²-y²=1
{
(x-y)²-2(x-y-2)=7
答
令 A=x-y 则(x-y)²-2(x-y-2)=7
变成 (A)²-2(A-2)=7
解得 A=3 和A=-1
x²-y²=(x-y)(x+y)=1
当A=3 即 x-y=3
x+y=1/3
解得 x=5/3 y=-4/3
当A=-1 即 x-y=-1
x+y=-1
解得 x=-1 y=0