Vieta's is fun, so I'll post another problem!

Algebra Level 5

x37x2+5x+2=0x^3-7x^2+5x+2=0

Given that aa, bb and cc are the roots of the above equation, find the value of cyca4bc+1 \displaystyle \sum_{\text{cyc}} \dfrac{a^4}{bc+1}.


Too hard? Here are some slightly easier problems.

Too easy? Try this then.

Give this problem a solution which is more elegant, faster or simpler than mine!
×

Problem Loading...

Note Loading...

Set Loading...