Proof that (a^2)/(b) + (b^2)/(c) + (c^2)/(a) >= a+b+c

Damon Vazquez

Damon Vazquez

Answered question


Proof that a 2 b + b 2 c + c 2 a a + b + c
I've tried getting everything on the left side and transforming it into something squared so that I can prove it's bigger or equals to 0 but I've been unsuccessful.

Answer & Explanation

Cullen Kelly

Cullen Kelly

Beginner2022-10-10Added 7 answers

For positives a, b and c by C-S we obtain:
c y c a 2 b ( c y c a ) 2 c y c b = ( a + b + c ) 2 a + b + c = a + b + c .

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?