已知x^4+x^3+x^2+x^2+1=0,求x^100+x^99+x^98+x^97+x^96的值见上_数学解答

已知x^4+x^3+x^2+x^2+1=0,求x^100+x^99+x^98+x^97+x^96的值
见上

人气：331 ℃　时间：2020-04-09 17:59:43

解答

因为x^4+x^3+x^2+x^2+1=0
所以
x^100+x^99+x^98+x^97+x^96
=x^96(x^4+x^3+x^2+x^2+1)
=x^96*0
=0