Thursday, August 18, 2016

Carrollian Quatrain Solved



Carrollian Quatrain Solved


Once Charles L. Dodgson got an invitation to a party; to which he austerely replied, in the persona of Lewis Carroll:

Yet what are all such gaieties to me
  Whose thoughts are full of indices and surds?
x^2 + 7x + 53
        = 11 / 3.

I went to the trouble of solving it:
x  =  (-7/2)   +/-   i sqrt(1335) / 6

Note that 1335 = 3*5*89; three prime Fibonacci factors!

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