How to Evaluate $\dfrac{a^5+b^5+c^5-1}{abc}$ Given $ab+bc+ca=0$ and $abc\ne 0$?

  • MHB
  • Thread starter anemone
  • Start date
  • Tags
    Expression
  • #1
anemone
Gold Member
MHB
POTW Director
3,882
115
Let $a,\,b,,c \in \mathbb R$ such that $ab+bc+ca=0$ and $abc\ne 0$. Evaluate $\dfrac{a^5+b^5+c^5-1}{abc}$.
 

Similar threads

Replies
0
Views
1K
Replies
1
Views
1K
Replies
2
Views
1K
Replies
2
Views
1K
Replies
2
Views
958
Replies
1
Views
1K
Back
Top