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Just distribute the 7 across the two terms inside......this will give us....

7c - 14

And that's it !!!

Melody, I believe - but I'm not sure - that we can generate some Pythagorean Triple "Fractions", using the Pythagorean Triples themselves!!!......I just played around with this a second ago, so I don't really know if it's true - but it seems like it might be.

Let a and b be the first two numbers of any Pythagorean Triple.

Now square them, and write them as denominators of two fractions, each having a numerator of 1. So we have:

1/a² + 1/b²  =

(b² + a² ) / (a²* b²)  =

(b² + a² ) / (a * b)² 

Note that the numerator is a perfect square (the square of the last number in the triple, c) and the denominator is a perfect square, too!!

Therefore:

(1/a)² + (1/b)²  = (c/ab)²

And there's a "Pythagorean Triple" Fraction.....!!!!

sevenUP already answered this question here

I just google it Roasala and I found out that rm is Malaysian Ringgit    (I just googled "rm money")

I always do these as ratio questions.  I find them easier that way.

$$\frac{1500}{12.5grams}=\frac{x}{1g}\\$$

g=1500/12.5 = 120

1g costs rm120

Twenty-five to the power of minus two x squared x minus two equals five hit in five

Thank you Rosala but the bits in red still do not make much sense.  

$$x^2x^2x^2x^2x^2x^2x^2\\
=x^{2+2+2+2+2+2+2}\\
=x^{14}$$

5,12,13 is an example of a pythagorean triad

Some other examples include

10,24,26,

20, 48,56,

In fact any three numbers in the same ratio as 5,12, and 13 will be a pythagorean triad 

I'll bundle them together and call them 5n, 12n, 13n

Others include

3,4,5    and 3n,4n,5n.

and theere are many more.

This has got me thinking,

Can pythagorean triads only include rational numbers?   what kinds of numbers can they include?

Maybe any at all so long as they obey the realtionship   $$a^2+b^2=c^2$$    ?

Can they even be imaginary numbers?

I have not googed this - maybe someone would like to google it for me?  Then they could share the answer with all of us.     

I have just saved this on our 'Puzzles' sticky thread.  

NUMBER COMBINATION PUZZLES:

Is it possible to get 873 from 100 75 50 25 10 6    (Answers on this page)

How did you translate it Rosala?

The poster could have meant either of those things or something completely different.

the question is incomplete.

Thank you Rosala,  you didn't need to appologise.  

Okay Melody from now on i'll add in the actual post if ive corrected it!Thanks for telling me!and since now ull have no more confusion!im really sorry for your confusion!But it wouldnt repeat!

Yes!Thats true!Just a small hidden mistake made it soo confusing and hard for all of us!

but doent matter , even ive dont the same with a question!And we were all finding it so difficult to get the correct answer!

But its good atleast u pointed out your mistake!

Rosala, (and everyone) if you make a correction could you please mention this in the actual post that you corrected.

I read through these, I knew your answer was correct, then Ninja said it was wrong.  It took me a while to work out that you had already corrected it.

You could have just added an aside (correction made - thanks Ninja) or something like so that I don't have to be so confused.

btw.  I thought your solution was really good.  It is very nicely presented!

----------------------

Thanks Ninja, your work is always excellent.

Actually, rosala....I think I made it more "mysterious" than it really is!!!

Fri 11/7/14

♬                                        ♬ ♬ MELODY ♬ ♬

I really was not impressed with this thread this morning.  A new member, Mari379, asked a serious question.

Rosala welcomed her to the forum, that was nice, thank you Rosala.

Then Zegroes, Rosala and DragonSlayer turned the thread into a fun post.  Yes it was funny, that is why I didn't just white it out but by the time sevenUP answered the actual question.  The serious answer was lost amounst the sea of detritus.  A couple of hours later, Mari reposted and CPhill anwered.  She should have been able to see her answer in the first place.  You should all be a little bit ashamed of yourselves.

You know I don't mind you playing on the forum.  In fact I really like it.  BUT do not do on serious posts.  Especially when they  are not fully answered yet!

Now that looks really good!

Im happy that at last we've discovered the correct answer to the mysterious question!

I'll forgive you Chris and I found the glasses that you threw away.  I am sure that you want them back! 

Here they are.  A gift from me.   

Thank You Melody!i too hope the same!

Ater looking at this again, I don't know what buttons I pushed on the calculator, but it's definitely NOT some decimal between  0 and 1 !!!

I concur with Melody's answer.........587.1852583387229.......!!!!

(I can't believe I didn't catch such a blatant error!!)

I'm even taking a pair of my sunglasses away as a self-imposed punishment....!!!

They are beautiful gifts Rosala.  I am sure 7up will love them!    

hmmmm!good!

i just thought that maybe HarryPotter could never finish thats why i told it!But though it was just a guess!As i dont give wrong answers(mostly ,lol)!

but im happy 7up got it right!

Yes Melody your right , it is very confusing!I had just remembered what CPhill has said in that thread so thought to tell Ninja about it for he could get some help!But this thing is really confusing!

Thanks for telling me , ive got some for you !So 7up these roses are for you!

 Thanks once again!

Melody and Cphill i dont know who helped me from u two but id like to gift both becoz maybe u both helped me!so heres something for you!

These are two golden gifts from me for both of you with a .............................humble thanks!

and thank you once again !It wouldnt have been possible without u people!I really appreciate all your help very much!

Thank you!