perplexus.info :: Just Math : Minimum of a Real Valued Function

Minimum of a Real Valued Function (Posted on 2024-07-10)

Given:
f(x) = √(x^2-10x+314) + √(x^2+20x+325)

Determine the minimum value of |f(x)| for a real number x.

*** Adapted from a problem appearing in 2017 Singapore M.O. open.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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