perplexus.info :: Just Math : sod(square)

sod(square) - number = 2 (Posted on 2010-09-27)

(I) Determine all possible values of a base-10 positive integer x such that:
sod(x²) - x = 2, where sod(n) denotes the sum of the digits in the base-10 representation of n.

(II) Determine all possible values of a base-11 positive integer y such that:
sod(y²) - y = 2, where sod(n) denotes the sum of the digits in the base-11 representation of n.

In each of (I) and (II) prove that these are the only respective valid value(s) corresponding to x and y.

See The Solution Submitted by K Sengupta

Rating: 3.5000 (2 votes)

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(In reply to No Subject by James)

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Posted by KamronBo on 2020-05-23 04:19:50

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