When will the holidays come 1

Algebra Level 5

If 1,α1,α2,α3,α41,\alpha_1,\alpha_2,\alpha_3,\alpha_4 are fifth roots of unity, and

i=1412αi=ab\displaystyle\sum_{i=1}^4 \dfrac{1}{2-\alpha_i}=\dfrac{a}{b}

Where aa and bb are coprime integers then find aba-b.

×

Problem Loading...

Note Loading...

Set Loading...