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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

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re: Solution

| Comment 2 of 3 |

(In reply to Solution by Brian Smith)

This is consistent with a graph of the equation.

https://www.desmos.com/calculator/ftpcnpyw1x

The equation is a general cubic equation, which can be quite curvy, but this one is degenerate and only consists of three lines.

Posted by Jer on 2021-08-28 11:01:05

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