已知|x-4|+(4y-1)²+√1-z =0,求x^3n y^3n+1 z^5n+6 -x的值,要详细过程

题目

已知|x-4|+(4y-1)²+√1-z =0,求x^3n y^3n+1 z^5n+6 -x的值,要详细过程

答案

∵|x-4|+(4y-1)²+√1-z =0
∴x-4=0 4y-1=0 1-z=0
∴x=4 y=1/4 z=1
∴原式=4^(3n)*(1/4)^(3n+1)*1^(5n+6)-4
=(4*1/4)^(3n)*1/4*1-4
=1/4-4
=-15/4