How quickly can you solve this?

Algebra Level 3

If \[\large \dfrac{1}{a + \omega} + \dfrac{1}{b + \omega} + \dfrac{1}{c + \omega} = 2 \omega ^2 \] Then, \[\large \dfrac{1}{a + 1} + \dfrac{1}{b + 1} + \dfrac{1}{c + 1} = \ ? \]

Notation: \(\omega\) denote the cube root of unity.

×

Problem Loading...

Note Loading...

Set Loading...