perplexus.info :: Numbers : Bivariate equation

Home > Numbers

Bivariate equation (Posted on 2021-08-27)

Given the equation:

4x³+4x²y-15xy²-18y³-12x²+6xy+36y²+5x-10y=0

find all positive integer solutions.

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Answer

Comment 3 of 3 |

(x,y) =(2*t, t) where t is a positive integer

(x,y) = (1,1) constitutes all possible solutions.

** I hope to posit a suitable explanation for it in future.

Edited on April 21, 2022, 12:34 am

Posted by K Sengupta on 2022-04-21 00:33:29

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info