已知x、y满足x^2+y^2=2x+y-5/4,求x^2-2xy-y^2的值
问题描述:
已知x、y满足x^2+y^2=2x+y-5/4,求x^2-2xy-y^2的值
遇到问题了,请多多指教
答
配方得,(x-1)^2+(y-1/2)^2=0,所以x=1,y=1/2,所以x^2-2xy-y^2=-1/4
已知x、y满足x^2+y^2=2x+y-5/4,求x^2-2xy-y^2的值
遇到问题了,请多多指教
配方得,(x-1)^2+(y-1/2)^2=0,所以x=1,y=1/2,所以x^2-2xy-y^2=-1/4