Re: 2012 HSC MX2 Marathon
Easy questions :p
(a).If w is a complex root of z^5 -1=0 with the smallest positive argument, show that w^2 ,w^3 and 2^4 are the other complex roots.And hence prove that 1+w^2+w^3+w^4=0
(b).Find the quadratic equation whose roots are a=w+w^4 and B=w^2+w^3