Question

解方程(x^2010+1)(1+x^2+x^4+x^6.+x^2008)=2006x^2009

Answer 1

(x^2010+1)(1+x^2+x^4+x^6.+x^2008)=(x^2010+1)(1-(X^2)^(1004+1))/(1-x^2)

(x^2010+1)(1-x^2010)=(1-x^2)2006x^2009

1-x^2010^2+2006x^2010-2006x^2009=0

(1-x)(.)=0

x=1