Question

The common roots of the equation $z^3+2z^2+2z+1=0$ , $z^{2014}+z^{2015}+1=0$

• A. $\omega ,{\omega }^2$
• B. $1,\omega ,{\omega }^2$
• C. $-1,\omega ,{\omega }^2$
• D. $-\omega ,-{\omega }^2$

Answer 1

The correct option is A $\omega ,{\omega }^2$

Clearly $\omega ,{\omega }^2$ are the roots of given equations.