设A=2x2-3xy+y2+x-3y,B=4x2-6xy+2y2+4x-y,若|x-3a|+(y+3)2=0,且B-2A=a.求A的值.
问题描述:
设A=2x2-3xy+y2+x-3y,B=4x2-6xy+2y2+4x-y,若|x-3a|+(y+3)2=0,且B-2A=a.求A的值.
答
∵A=2x2-3xy+y2+x-3y,B=4x2-6xy+2y2+4x-y,∴a=B-2A=(4x2-6xy+2y2+4x-y)-2(2x2-3xy+y2+x-3y)=4x2-6xy+2y2+4x-y-4x2+6xy-2y2-2x+6y=2x+5y,∵|x-3a|+(y+3)2=0,∴x-3a=0,y+3=0,即x=3a,y=-3,则a=6a-15,即a...