整数x,y满足10x²+y²+6xy++15<8x,求x+y的值.希望能写下具体过程(因为这是道填空题,
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 04:52:21
![整数x,y满足10x²+y²+6xy++15<8x,求x+y的值.希望能写下具体过程(因为这是道填空题,](/uploads/image/z/1805058-18-8.jpg?t=%E6%95%B4%E6%95%B0x%2Cy%E6%BB%A1%E8%B6%B310x%26%23178%3B%2By%26%23178%3B%2B6xy%2B%2B15%EF%BC%9C8x%2C%E6%B1%82x%2By%E7%9A%84%E5%80%BC.%E5%B8%8C%E6%9C%9B%E8%83%BD%E5%86%99%E4%B8%8B%E5%85%B7%E4%BD%93%E8%BF%87%E7%A8%8B%EF%BC%88%E5%9B%A0%E4%B8%BA%E8%BF%99%E6%98%AF%E9%81%93%E5%A1%AB%E7%A9%BA%E9%A2%98%2C)
整数x,y满足10x²+y²+6xy++15<8x,求x+y的值.希望能写下具体过程(因为这是道填空题,
整数x,y满足10x²+y²+6xy++15<8x,求x+y的值.希望能写下具体过程(因为这是道填空题,
整数x,y满足10x²+y²+6xy++15<8x,求x+y的值.希望能写下具体过程(因为这是道填空题,
(9x²+6xy+y²)+(x²-8x+15)<0,
(3x+y)²+(x-3)(x-5)<0,
(3x+y)²>0,∴(x-3)(x-5)<0,
∴x-3,x-5异号,x-3>0,x-5<0,整数x=4,
(3x+y)²<1,3x+y是整数,∴3x+y=0,y=-12,
x+y=-8