✗ NEAVDAA (NOT) ︱ EXTRA HARD MATH PROBLEMS

Sort:
Avatar of imchesspro0930
CzarnyResorak567 wrote:
imchesspro0930 napisał:

Prove infinite primitive integer triplets (x, y, z) satisfy the equation above with all natural numbers n.

Primitive means a solution cannot be shrunk down to just it's factors, no requirement states it shall be coprime.

Can you rephrase the question?

just translate it into polish

btw okay so there are infinite integers satisfying the equation with all positive integers n, and you have to prove that.

also the solution needs to be primitive, which means it may not be shrunken down to just it's factors, like how you multiply numbers into the Pythagorean theorem, it still holds.

Avatar of CzarnyResorak567
napisał:
CzarnyResorak567 wrote:
imchesspro0930 napisał:

Prove infinite primitive integer triplets (x, y, z) satisfy the equation above with all natural numbers n.

Primitive means a solution cannot be shrunk down to just it's factors, no requirement states it shall be coprime.

Can you rephrase the question?

just translate it into polish

btw okay so there are infinite integers satisfying the equation with all positive integers n, and you have to prove that.

also the solution needs to be primitive, which means it may not be shrunken down to just it's factors, like how you multiply numbers into the Pythagorean theorem, it still holds.

Thanks

Avatar of VishTheFish771
xxPlayer1014xx wrote:

Declined:

Even though maths is my favourite subject, I am only in 10th grade (Year 10).

Huh that means Chye is similar age to me

Avatar of Anonymous_M-01

you mean n∈N,right?

Avatar of Anonymous_M-01
imchesspro0930 wrote:

Prove infinite primitive integer triplets (x, y, z) satisfy the equation above with all natural numbers n.

Primitive means a solution cannot be shrunk down to just it's factors, no requirement states it shall be coprime.

I always wanna try to find some specific combinations but nah it didn't work at all

Avatar of MegaThief
VishTheFish771 wrote:
xxPlayer1014xx wrote:

Declined:

Even though maths is my favourite subject, I am only in 10th grade (Year 10).

Huh that means Chye is similar age to me

And me 2

Avatar of VishTheFish771

"cool beans" ~August Pullman

Avatar of imchesspro0930

same. I went to a very prestigious math competition this May, I can cook

Avatar of imchesspro0930

same. for some reason there are math geniuses everythere online

Avatar of VishTheFish771

I’m not experienced with trig and quad…

Avatar of VishTheFish771

I'll prob get there in about 3 months (in school I mean)

Avatar of MegaThief

No as in 3 months excluding the holiday period

Avatar of CzarnyResorak567

Bump

Avatar of CzarnyResorak567

Not too hard one:

Prove that for every natural number n and 2n+1 irrational numbers, we can pick n+1 from them such that no non-empty subset of these n+1 numbers has a rational sum.