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635,318,657=a^4 + b^4 AND 635,315,657=c^4 + d^4. Find the four distinct integer values of a, b, c, d.

Thank you.

 May 23, 2016
 #1
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P. S. The number is the same number in both cases, namely: 635,318,657, despite the typo in the second one. Sorry about that.

 May 23, 2016
 #2
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WolramAlpha gives the following possible [paired] integer solutions :

 

 ±158, ±59

 

 ±134, ±133

 

You can mix and match them however you wish to get the pssible values for a, b, c and d

 

 

 

 

 

 

cool cool cool

 May 24, 2016

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