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,

问题描述:

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)(3x+y)²+(x-3)(x-5)(3x+y)²>0,∴(x-3)(x-5)∴x-3,x-5异号,x-3>0,x-5(3x+y)²x+y=-8