SOLUTION: Write 17! as the difference of two integer perfect squares. Thanks!

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Question 1199406: Write 17! as the difference of two integer perfect squares.

Thanks!
Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
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Write 17! as the difference of two integer perfect squares.
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See the solutions under this link

https://www.quora.com/How-do-you-write-17-as-the-difference-of-two-integer-perfect-squares


It can be done in several different ways,  so different answers are possible.

You will find all necessary explanations/formulas under the referred link.


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One possible/particular solution is

        17! = (n+2)^2 - n^2,

where   n = 17%21%2F4-1 = 88921857024000 - 1 = 88921857023999,   so

        17! = 88921857024001^2 - 88921857023999^2.


As you may find in the referred source,  there are many other possible solutions/presentations.