Sum calculation

this is the data of the problem a/b + b/c + c/a = 4 and a/c + c/b + b/a = 5 in place of 5 i put 1/4 and it solved the problem
 
Mohssine said:
a/c + c/b + b/a = 5
in place of 5 i put 1/4 and it solved the problem
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I'd asked about your issue with 3, not 5.

I understand what you've said about 5.

What are you trying to say about 3?

If you answer my question, then I can check my work and try to confirm your claim about 1/4.

Otherwise, I might be wasting more of my time.

:)
 
i mean we stayed long time on the problem, it needs just a number as a result to remember you
 
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Your English is confusing, but I've now inferred that you have no issue with any of the 3s in this thread.

Please give me 3 minutes to check my work. Thank you for waiting...

[imath]\;[/imath]
 
i am here, take your time but i want a number as result, the solution is a number after all
 
I found a mistake in my work (I'd failed to write one of my closing grouping symbols, and that sneaky error had led to a reasonable result).

I agree with your claim: 5 is incorrect.

Using 1/4 instead of 5, I get 64 for the answer.

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very well done, you see we got same results 4^3; i thank u so much for ur time i enjoyed solving this thread with you
 
Good, now throw it away.

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PS: If you'd received the exercise from a teacher, then please tell them that they owe me a bottle of pain-killers.
 
if only you could see me, 3 days looking at this enigma, by the way, long time i look for a game about a wolf and serpents, its an old puzzle game, the wolf used to push rocks and try find the keys to open doors, its about 40 levels, please if you have idea of his name tell me, i remember its name like fitniz something near that
 
again i thank u, and u deserve a good cold orange juice from me, for the teacher he deserves his destiny hhh
 
Mohssine said:
an old puzzle game, the wolf used to push rocks and try find the keys to open doors...fitniz something
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That doesn't sound familiar. I didn't play video games much, but I know a lot of early stuff used characters from mythology.

I googled and found a great wolf "fenris". (That made me think of pushing blocks in tetris.)

...in Norse mythology [fenris] was a symbol of strength, ferocity, destiny, and inevitability. He was often viewed as someone wrongfully chained in an attempt to prevent the fulfillment of his destiny.
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PS: I used a computer and found infinite solutions for a,b in terms of c -- each of the solutions contains at least one imaginary number. Here's two {a,b,c} where I picked the c values:

{2i, 4, 1}

{4i2, 8i, 2i}

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its among the most mysterious exercises i encountered, hhh thats why it remembers me of the game i talked to you about, if i find that game i will tell you about it
 
Mohssine said:
its among the most mysterious exercises i encountered
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It's a nice type of exercise (with 1/4 instead of 5), but I sure went off the rails in this thread. I normally check my paper-and-pencil work using software, but I'd skipped that step because my distribution error made my answer 4 -- which seemed like a nice, clean result.

I'm curious, if you don't mind answering: At what point during the three days did you begin to suspect that 5 was wrong? Or, did you happen to try something additional after posting here and then suddenly recognize from new work, "Gee, if only that 5 were 1/4"?

I've re-read the entire thread, and, in hindsight, I can see a couple reasons why I became confused. I had not seen some of your posts. The forum software is no longer consistently notifying me in the mobile version when new posts are added. (I need to remember to review long threads, in those situations.) Also, I think we were working on different questions at some point because you knew something was wrong with 5 and I didn't. You'd mentioned it before, but somehow you'd missed answering a couple followup questions.

I would also like to say that your conversational English is fine and that I may have misjudged your technical language too harshly; I was missing context.

When I'd discovered afterwards that all the a,b,c solutions must have at least one imaginary number, I'm glad that I didn't try to solve the system by hand! (Using a solution for a,b,c would have been another way to double-check my original answer of 4.) Cheers

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Sorry for the late answer, in the first attempt after i used the equation given by Subhotosh i remarked that there is a missing equation, as there are 3 variables so 3 equations needed to solve it, then i remarked that if the 5 were 1/4 that would simplify the term 3xyz and solve the problem.
Otherwise i still look for the game for you, you will like it, i was looking for it that why i answered late.

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