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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

bobbym
2012-10-29 23:30:33

Hi;

This is where it is explained:

http://en.wikipedia.org/wiki/Egyptian_fraction

if you have a problem with understanding it post it here.

John-o
2012-10-29 22:33:21

What is this egyptian fraction?I'd like to know about it.

bobbym
2012-10-29 17:05:22

Hi John-o;

There are a lot of solutions to that equation. Are there any constraints you have left out?

We can treat this with a few more constraints as an Egyptian fraction. One possible solution is



So we have a=1 and ab -1 =14 and b = 15

Substituting into the top equation:





x = 15 , y = 210 is one solution.

There 5 solutions with positive integers and x ≠ y. They are











For a general solution that gets all solutions











All solutions are now generated by adding 14 to the divisors of 196.

John-o
2012-10-29 16:45:41

What will be integer solution for x and y-

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