已知实数x,y,z满足｜4x-4y+1｜+1/3√2y+z+z^2-z+1/4=0.求（y+z)*x^2的值.

已知实数x,y,z满足｜4x-4y+1｜+1/3√2y+z+z^2-z+1/4=0.求（y+z)*x^2的值.
已知实数x,y,z满足｜4x-4y+1｜+1/3√2y+z+z^2-z+1/4=0.求（y+z)*x^2的值.

已知实数x,y,z满足｜4x-4y+1｜+1/3√2y+z+z^2-z+1/4=0.求（y+z)*x^2的值.
｜4x-4y+1｜+1/3√2y+z+（z-1/2）^2=0
由几个非负数的和为零,要求每一项为零
故4x-4y+1=0
2y+z =0
z-1/2=0
x=-1/2
y=-1/4
z=1/2
所求为（y+z)*x^2=1/4*1/4=1/16

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已知实数x，y，z满足｜4x-4y+1｜+(1/3)√(2y+z)+(z²-z+1/4)=0。求（y+z)x²的值。
将原式化为｜4x-4y+1｜+(1/3)√(2y+z)+[z-(1/2)]²=0，可知：
4x-4y+1=0...........(1)
2y+z=0................(2)
z-1/2=0...........

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已知实数x，y，z满足｜4x-4y+1｜+(1/3)√(2y+z)+(z²-z+1/4)=0。求（y+z)x²的值。
将原式化为｜4x-4y+1｜+(1/3)√(2y+z)+[z-(1/2)]²=0，可知：
4x-4y+1=0...........(1)
2y+z=0................(2)
z-1/2=0...............(3)
由(3)得z=1/2；代入(2)式得y=-(1/2)z=-1/4；代入(1)式得x=(1/4)(4y-1)=-1/2；
∴(y+z)x²=(-1/4+1/2)(-1/2)²=1/16

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