An challenge for anyone willing to try

by shiningsunnyday, Dec 26, 2016, 12:56 PM

A seemingly-simple problem but one that I've spent quite some time on without much progress!

Post comments, approaches, ideas, hints, solutions, etc. (don't spoil if you've seen it before)
Will reveal later wrote:
Find all pairs $(x, y)$ of nonnegative integers such that $x^2+3y$ and $y^2+3x$ are simultaneously perfect squares.

Comment

1 Comment

The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Haven't seen before but either I'm fakesolving or it's not that hard?

step 1

step 2

step 3

WAIT OMG I'M STUPID

I solved it after reading step 1, cool thanks :D
This post has been edited 2 times. Last edited by shiningsunnyday, Dec 27, 2016, 3:56 AM

by tastymath75025, Dec 26, 2016, 10:19 PM

To share with readers my favorite problem I came across today :) (Shout for contrib.)

avatar

shiningsunnyday
Archives
- May 2017
Shouts
Submit
  • this guy is an absolute legend. much love wherever you are Michael

    by LeonidasTheConquerer, Aug 5, 2024, 9:37 PM

  • amazing blog

    by anurag27826, Jun 17, 2023, 7:20 AM

  • hi i randomly found this

    by purplepenguin2, Mar 1, 2023, 8:43 AM

  • can i be a contributor please?

    by cinnamon_e, Mar 10, 2022, 6:58 PM

  • orzorzorzorzorzorozo

    by samrocksnature, Jul 16, 2021, 8:25 PM

  • 2021 post

    by the_mathmagician, May 5, 2021, 3:28 PM

  • Let $ ABC$ be an equilateral triangle of side length $ 1$. Let $ D$ be the point such that $ C$ is the midpoint of $ BD$, and let $ I$ be the incenter of triangle $ ACD$. Let $ E$ be the point on line $ AB$ such that $ DE$ and $ BI$ are perpendicular. $ \

    by ARay10, Aug 25, 2020, 5:55 PM

  • Nice blog! :)

    by User526797, Jan 12, 2020, 4:48 PM

  • oh my gosh it's been so longggggg.... contrib? what does that mean?

    by adiarasel, Dec 1, 2019, 8:31 PM

  • 2019 post

    by piphi, Aug 10, 2019, 6:32 AM

  • hi contrib please

    by Emathmaster, Dec 27, 2018, 5:38 PM

  • hihihihihi contrib plzzzzz

    by haha0201, Aug 20, 2018, 3:58 PM

  • contrib please

    by Max0815, Aug 1, 2018, 12:35 AM

  • contrib /charmander

    by mathmaster2000, Apr 16, 2017, 4:59 PM

  • for contrib

    by SomethingNeutral, Mar 30, 2017, 7:57 PM

270 shouts
Tags
About Owner
  • Posts: 1350
  • Joined: Dec 19, 2014
Blog Stats
  • Blog created: Jun 11, 2016
  • Total entries: 193
  • Total visits: 30957
  • Total comments: 579
Search Blog
a