Waste less time on Facebook — follow Brilliant.

Find all solutions.....

\(4x^{3}\) \(-\) \(3x\) \(-1\) \(=\) \(2y^{2}\). Find all positive integral solutions.... I solved it and I found that there will be infinitely many sol. \(x\) = \(2k^{2} + 1\),, \(y\) = \(4k^{3} + 3k\) where k is any positive integer....... Please verify whether I am correct.....

Note by Alpha Beta
4 years, 2 months ago

No vote yet
2 votes


Sort by:

Top Newest

Yes, provided that \(x, y\) are positive integers, you are correct. But, it also holds for negative \(k\) such that \(y\) is negative. Aditya Parson · 4 years, 2 months ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...