MHB Why x2 +1 and x2 -1 are Not/Are Difference of Squares

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Explain why x2 +1 is not a difference of squares and x2 -1 is
 
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Oh, but it is ...

$x^2+1 = x^2 - (-1) = (x - i)(x + i)$
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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