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.
问题描述：
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.
答
｜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