# Construction of Bhaskara Pairs

## TL;DR

This paper constructs specific integer solutions for a system of coupled quadratic and cubic Diophantine equations with fixed ratios, advancing the understanding of such complex number solutions.

## Contribution

It introduces a method to explicitly construct integer solutions to the coupled equations for given ratios a/b, which was previously unexplored.

## Key findings

- Explicit solutions for specific ratios a/b
- New insights into coupled quadratic-cubic Diophantine systems
- Potential applications in number theory research

## Abstract

We construct integer solutions {a,b} to the coupled system of diophantine quadratic-cubic equations a^2+b^2=x^3 and a^3+b^3=y^2 for fixed ratios a/b.