James H.

asked • 05/04/15

Find all solutions in positive integers for the question : x - y^4 = lcm of x and y

I need this answer quickly.

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Mark M. answered • 05/04/15

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Assuming "lcm" mean Least Common Multiple, and not knowing if x and y are relatively prime or not:
 
x - y4 = xy
x = y4 + xy
 
You can readily see that if x and y are positive integers x cannot be equal to itself multiplied by y and having y4 added.
 
Is this problem accurately copied?
 
 
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Vijaya A.

I see your point mark, but the question is what has been given.
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05/26/15

Mark M.

I look forward to learning from someone else's solution!
 
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05/26/15

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