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| Multiply Digits, Get Quadratic (Posted on 2011-10-05) |
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Given that x is a positive integer, determine all possible values of a positive integer constant a such that the product of the digits in the base ten representation of x is equal to x2 – ax - 22.
*** For an extra challenge, solve this puzzle without using a computer program.
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Submitted by K Sengupta
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Solution:
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The only possible values of a are 10, 33, 45, 56 and 77.
For a detailed explanation, refer to the solution submitted by Jer in this location.
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