I have to find all whole numbers ( x, y ) that 2^x + 5^y is a square of a whole number.
I have no clue on how to do this , any pointers?
for example ( 2,1 ) 2^x+ 5^y = 9 is a square of a whole number ( 3 )
What I need is a proof that this is the only answer if it is, I can't just answer without a proof.
You should make a thread about it.
[QUOTE=phobia-_-;32357655]You should make a thread about it.[/QUOTE]
yeah ....
[url]http://www.facepunch.com/threads/1003662?highlight=[/url]
I don't get the problem i don't think your explained it properly
[QUOTE=johnT447;32357712]I don't get the problem i don't think your explained it properly[/QUOTE]
which part exactly?
[QUOTE=marcin1337;32357721]which part exactly?[/QUOTE]
Is it really just a matter of finding two numbers that give you a answer thats a square of a number?
If so just try some numbers.
[QUOTE=johnT447;32357747]Is it really just a matter of finding two numbers that give you a answer thats a square of a number?
If so just try some numbers.[/QUOTE]
yes but I need to have a proof, I can't just randomly guess, how do I know they are the only two numbers
You will need to rephrase the question for anyone to get anywhere.
The doesn't seem to be written in 'good English'
[QUOTE=OMGWorms;32358081]You will need to rephrase the question for anyone to get anywhere.
The doesn't seem to be written in 'good English'[/QUOTE]
Is that a excuse ..
[QUOTE=marcin1337;32357570]I have to find [highlight]all whole numbers [/highlight]( x, y ) that [IMG]http://www4c.wolframalpha.com/Calculate/MSP/MSP36119h792a2e0367ci600003a1c456ggac25i1h?MSPStoreType=image/gif&s=47&w=45&h=18[/IMG] is a square of a whole number.
I have no clue on how to do this , any pointers?[/QUOTE]
Yeah, have fun with that, because it will literally take forever.
snip
[QUOTE=marcin1337;32358109]Is that a excuse ..[/QUOTE]
We can't help you if we don't understand the question.
I've been playing with this equation and with my dick for the past hour and did not find any numbers that gave that result and the graph of it doesn't seem to give away any obvious results either.
[img]http://img402.imageshack.us/img402/5760/59660137.gif[/img]
for example x =2 y =1 is a answer
True, I should have played less with my dick.
[QUOTE=marcin1337;32357570][B]I have to find all whole numbers ( x, y ) that 2^x + 5^y is a square of a whole number.[/B]
I have no clue on how to do this , any pointers?
for example ( 2,1 ) 2^x+ 5^y = 9 is a square of a whole number ( 3 )
What I need is a proof that this is the only answer if it is, I can't just answer without a proof.[/QUOTE]
So all whole number values of X and Y for which the result of 2^x+5^y equals the square of a whole number? Wouldn't that be like, an infinite amount of numbers?