SOLUTION: Write 17! as the difference of two integer perfect squares.
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Algebra.Com
Question 1199406: Write 17! as the difference of two integer perfect squares.
Thanks!
Answer by ikleyn(52879) (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 = = 88921857024000 - 1 = 88921857023999, so
17! = 88921857024001^2 - 88921857023999^2.
As you may find in the referred source, there are many other possible solutions/presentations.
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