Not too hard II

Algebra Level 5

If \(a\), \(b\) and \(c\) are complex numbers such that:

\[a^2+b^2+c^2=21\\ a^3+b^3+c^3=-55\\ abc=-8\]

If the minimum value of \(a^4+b^4+c^4\) can be expressed as \(-\dfrac{m+147\sqrt{n}}{4}\), find \(m+n\).

×

Problem Loading...

Note Loading...

Set Loading...