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.
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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
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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