设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若│x-2a│+(y+3)²=0,且B-2A=a,求A
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![设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若│x-2a│+(y+3)²=0,且B-2A=a,求A](/uploads/image/z/1333378-10-8.jpg?t=%E8%AE%BEA%3D2x%26%23178%3B-3xy%2By%26%23178%3B-x%2B2y%2CB%3D4x%26%23178%3B-6xy%2B2y%26%23178%3B-3x-y%2C%E8%8B%A5%E2%94%82x-2a%E2%94%82%2B%28y%2B3%29%26%23178%3B%3D0%2C%E4%B8%94B-2A%3Da%2C%E6%B1%82A)
设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若│x-2a│+(y+3)²=0,且B-2A=a,求A
设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若│x-2a│+(y+3)²=0,且B-2A=a,求A
设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若│x-2a│+(y+3)²=0,且B-2A=a,求A
因为,│x-2a│+(y+3)²=0
由非负性可得,
x-2a=0且y+3=0
解得,x=2a,y=-3
又,B-2A=-x-5y=a
所以,
2(x+5y)+x=0
即,3x+10y=0
将y=-3代入,得3x-30=0
解得,x=10
所以,
A=2x²-3xy+y²-x+2y
=200+90+9-10-6
=299-16
=283