Meticulous design

Algebra Level 4

Let \(w\) denote a non-real complex number where \(w^7 = 1 \). Define \(a = w+w^2+w^4 \) and \(b = w^3 + w^5 + w^6\).

If \(a\) and \(b\) are roots of the equation \(x^2+px+q=0 \) for constants \(p \) and \(q\), what is the value of \(10p + q \)?

×

Problem Loading...

Note Loading...

Set Loading...