perplexus.info :: Just Math : Positive Integer and Real Number Expression 2

Positive Integer and Real Number Expression 2 (Posted on 2024-02-24)

Let

5 + √23
------- = a+b, where a is a positive 
   2
integer and b is a real number satisfying  0 ≤ b < 1

Evaluate: a³ + (3 + √23)b

**** Adapted from a problem appearing at 2017 SMO Junior 2017.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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