2.x er sokol real maan nirnoy koro jar jonno $3^x + 4^x = 5^x$ sotto hoy?
Div Prob
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Re: Div Prob
I have never heard of Pythagoran tyoyee 
As far as I can remember the answer is $x=2$. But the formal proof is not easy to write down. The general idea is that for $x>2$ RHS increases as a faster speed (slope greater), and the opposite is true for $x<2$
As far as I can remember the answer is $x=2$. But the formal proof is not easy to write down. The general idea is that for $x>2$ RHS increases as a faster speed (slope greater), and the opposite is true for $x<2$
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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Re: Div Prob
I heard PPT from Avik and Pythagorean Troyee(typo mistake chilo) from Subrata bhiya. And I understood the graph. I think I'll have to wait untill I get that far.
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Re: Div Prob
Moon vaia, isn't it Fermat's last theorem that $a^x+b^x=c^x$ is only true for $x=2$?
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AntiviruShahriar
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Re: Div Prob
to labib:it also can be $x=1 or .5$.$x=1,2,.5$Labib wrote:Moon vaia, isn't it Fermat's last theorem that $a^x+b^x=c^x$ is only true for $x=2$?
Re: Div Prob
actually the theorem includes $x>1$
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"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
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Re: Div Prob
actually Fermat's last theorem states that $x>2$
take a look, http://en.wikipedia.org/wiki/Fermats_Last_Theorem
take a look, http://en.wikipedia.org/wiki/Fermats_Last_Theorem
Re: Div Prob
I meant that fermat's last theorem states that if x>1 then $a^x+b^x=c^x$ is only true for $x=2$. @ tushar
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Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: Div Prob
i thought WILLES proved the fermat's last theorem
Re: Div Prob
I'm really confused with u guyz. some says if is 2. some tells it is 2,3,.5. some prefers >2. what is the fermats theorem anyway? (don't post link this time)
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