SOLUTION: Prove that there are no solutions in positive integers x and y to the equation x^4+y^4=625.

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Question 89707This question is from textbook Discrete Mathematics
: Prove that there are no solutions in positive integers x and y to the equation x^4+y^4=625. This question is from textbook Discrete Mathematics

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Good luck on this!
Prove that there are no solutions for: x%5E4%2By%5E4+=+625
This can be written as:
x%5E4%2By%5E4+=+z%5E4 where z = 5
Refer to Fermat's last theorem:
x%5En%2By%5En+=+z%5En There are no solutions for n>2
You might contact Andrew Wile for his thoughts on this.