Question

If x^2 + x +1 = 0, what is the value of x^1999 + x^2000?​

Answer 1

Answer:

There is nice relation here

x2000+x1999=−x1998=x1999+x1997

which is why x3=1 So

x1998(x+x2)=(x3)666(−1)=−1