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September 10, 2025jnanabha

ON THE QUINARY SURD EQUATION u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R²

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Integer solutions are derived for the surd equation, expanding mathematical knowledge in this domain.
The study unveils unique connections between the surd equation and figurate numbers, suggesting deeper patterns.
Curious observations reveal unexpected relationships within the framework of the surd equation and integer solutions.
Insights offered may pave the way for further research in number theory and related mathematical fields.

Implication

Investigation aims to identify integer solutions to the surd equation, highlighting connections with figurate numbers.

Abstract

This paper aims at finding different sets of solutions in integers to the surd equation u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R² . Some curious observations involving figurate numbers are exhibited.

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Cite This Study

Thiruniraiselvi et al. (2025) studied this question.

synapsesocial.com/papers/68c1a26154b1d3bfb60dd702 https://doi.org/10.58250/jnanabha.2025.55113

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Implication

Investigation aims to identify integer solutions to the surd equation, highlighting connections with figurate numbers.

ON THE QUINARY SURD EQUATION u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R²

Key Points

Implication

Abstract

Discussion

Cite This Study

ON THE QUINARY SURD EQUATION u3√(x² + y²) + v3√(x² + y²) = (k²+s²)R²

Key Points

Implication

Abstract

Discussion

Cite This Study

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