17
$\begingroup$

Which name of a large American city does the following equation represent?

$$ x^2+15600=649x $$

$\endgroup$
  • $\begingroup$ Weird that the answer gets more up-votes than the asker. $\endgroup$ – ghosts_in_the_code Jun 28 '15 at 16:12
  • 2
    $\begingroup$ @ghosts I don't find it that surprising, given that it's a pretty dumb riddle with only one posted solution. I'm actually surprised that I got this many upvotes! $\endgroup$ – 2012rcampion Jun 28 '15 at 16:15
20
$\begingroup$

The city you are referring to is

Chicago

Solving the quadratic equation gives us $x = 25$ or $x = 624$. Or to put it another way, it's '25 or 6 to 4', a song by the band Chicago.

$\endgroup$
  • 2
    $\begingroup$ To the creator, may I suggest rephrasing the riddle to, "what name of a large American city do the roots of this equation represent"? The answer above doesn't involve solving the equation, but rather finding its roots. To say that the entire equation describes a name is a bit generous. $\endgroup$ – bcf Jun 28 '15 at 13:17
  • 4
    $\begingroup$ @bcf I thought about that, but 1) In this case you are actually finding the solution to an equation (which are the roots of the polynomial $x^2-649x+15600$), and 2) I thought that it would make an already simple puzzle way too easy. $\endgroup$ – 2012rcampion Jun 28 '15 at 16:19

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.