阅读下面的推理过程，然后再解答：∵x-1x=2∴（x-1x）2=22∴x2-2+1x2=4即x2+1x2=6．求x4+1x4=；x8+1x8=．

Question

阅读下面的推理过程，然后再解答：
∵x-(1)/(x)=2
∴（x-(1)/(x)）²=2²
∴x²-2+(1)/(x2)=4即x²+(1)/(x2)=6．
求x⁴+(1)/(x4)=___；x⁸+(1)/(x8)=___．

Answer 1

x⁴+(1)/(x4)=（x²+(1)/(x2)）²-2=36-2=34，
x⁸+(1)/(x8)=（x⁴+(1)/(x4)）²-2=1156-2=1154．
故答案为：34，1154．