perplexus.info :: Just Math : The Power(ful) Equations

The Power(ful) Equations (Posted on 2007-12-22)

If x and y are positive integers, L: LCM of x and y, G: GCD of x and y, then solve the following equations for x and y values:
1) x^y=L^G, L>x.
2) x²+y² = L²+G², L>x>G.

See The Solution Submitted by Praneeth

Rating: 4.0000 (2 votes)

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Subject	Author	Date
answer	K Sengupta	2007-12-23 06:44:30
LG problem!	Chesca Ciprian	2007-12-22 16:46:26
Solution, Part I	Steve Herman	2007-12-22 15:18:13
Solution, Part 2	Steve Herman	2007-12-22 14:51:16

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