Given the square of a + a +1=0, then the value of the 2006 power of a + the 2005 power of a + the 2004 power of a is

Given the square of a + a +1=0, then the value of the 2006 power of a + the 2005 power of a + the 2004 power of a is

2006 Power of X +2005 power of X +2004 power of X
=2004Th power of X ×(square of x + X+1)
=2004 Power of X ×0
=0

Given 1+x+x2=0, the value of the 2006 power of ball x +x 2005 power +x 2004 power +...+x+1 Given 1+x+x2=0, the value of 2006 power of ball x +x 2005 power +x 2004 power +...+x+1

X's 2006 power +x's 2005 power +x's 2004 power +...+x+1=x's 2004 power (1+x+x2)+x's 2001 power (1+x+x2)+...+1+x+x2=0+0+0+0+...+0=0