Can someone help me in resolving the following problem? Find all the solutions in positive integers for the equation x-y^4 =LCM(x,y). Thank you.
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Originally Posted by Frank Chan Can someone help me in resolving the following problem? Find all the solutions in positive integers for the equation x-y^4 =LCM(x,y). Thank you. Let , then Suppose there exists a positive pair of solutions x and y, note that the following must hold: By assumption on positivity of x and y, , but since (by definition), ...Contradiction! Thus there are no positive solutions x and y to the given equation.
Hi Isomorphism, Thank you for your reply, can you tell me what is gcd stands for by return? Thanks again.
Hi Isomorphism, I just find out that gcd is another term of hcf. Hence, I understand the whole solution now. Thank you for your great work, cheers.
what does d/y mean??
Originally Posted by blakelively07 what does d/y mean?? It's not d/y. It's d|y (with a straight line). It means that d divides into y evenly, or that y divided by d gives you no remainder. 01
thanx
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