来自任立义的问题
已知4x-3y-6z=0,x+2y-7z=0,xyz≠0,求2x2+3y2+6z2x2+5y2+7z2的值.
已知4x-3y-6z=0,x+2y-7z=0,xyz≠0,求2x2+3y2+6z2x2+5y2+7z2的值.
1回答
2020-12-10 19:27
已知4x-3y-6z=0,x+2y-7z=0,xyz≠0,求2x2+3y2+6z2x2+5y2+7z2的值.
已知4x-3y-6z=0,x+2y-7z=0,xyz≠0,求2x2+3y2+6z2x2+5y2+7z2的值.
4x-3y-6z=0①,x+2y-7z=0②,②×4,得4x+8y-28z=0③,③-①,得11y-22z=0,即y=2z,把y=2z代入②得,x+4z-7z=0,即x=3z,把y=2z,x=3z代入,原式=2(3z)2+3(2z)2+6z2(3z)2+5(2z)2+7z2=36z236z2=1....