
已知(x-2/3)²+|y+1|=0,试求1/2x-2(x-1/3y²)+(1/3y²-3/2x)的值
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(x-2/3)²+|y+1|=0,
x=2/3,y=-1
1/2x-2(x-1/3y²)+(1/3y²-3/2x)
=1/2*2/3-2[2/3-1/3*(-1)^2]+[1/3*(-1)^2-3/2*2/3]
=1/3-2[2/3-1/3]+[1/3-1]
=1/3-2/3-2/3
=-1
x=2/3,y=-1
1/2x-2(x-1/3y²)+(1/3y²-3/2x)
=1/2*2/3-2[2/3-1/3*(-1)^2]+[1/3*(-1)^2-3/2*2/3]
=1/3-2[2/3-1/3]+[1/3-1]
=1/3-2/3-2/3
=-1
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