#math trivia #167 solution

This one is fairly straightforward:  If we want x*(x+2)-1 = 167, then we need x and (x+2) to be factors of 168.  Given that 168 = 12*14, it follows that x is 12.

We should keep in mind, of course, that quadratic equations generally have two solutions.  The other one in this case is x = -14, which works out as (-14)*(-14+2)-1 = (-14)*(-12)-1 = 167.

(Note:  Heading back to the “archives” for some unfinished answers …)

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