perplexus.info :: Just Math : Sum of Squares Equals Real Ratio

Sum of Squares Equals Real Ratio (Posted on 2025-02-21)

Each of a, b, and c is a real number such that a+b+c=2.

Suppose the minimum value of:
(a+1/a)² + (b+1/b)² + (c+1/c)² is m/n, where gcd(m,n) =1.

Find m+n.

*** Adapted from a problem which appeared at Round 1 of Singapore Mathematical Olympiad Open, 2018.

No Solution Yet Submitted by K Sengupta

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	Subject	Author	Date
	some thoughts	broll	2025-02-22 03:28:39

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