perplexus.info :: Just Math : A cubic equation

A cubic equation (Posted on 2023-09-14)

Solve in positive integers:

x^3=y^3+2y^2+1

Source: Bulgarian Math. Competition

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

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Puzzle Answer

Comment 2 of 2 |

Only three integer solutions exist for the given equation.

They are: (x,y) = (1,0), (1,-2), and (-2,-3).

No positive integer pair corresponds to the given equation.

Posted by K Sengupta on 2023-09-15 01:36:41

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