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ON FINDING INTEGER SOLUTIONS TO QUATERNARY QUADRATIC DIOPHANTINE EQUATION xy+12zw=3(x+y)(z+w)

📘 Volume 12 📄 Issue 7 📅 July 2026

👤 Authors

N.Thiruniraiselvi 1 , M.A.Gopalan 2 , Sharadha Kumar 3
1. Associate Professor, Department of Mathematics, Vignesh College of Engineering and Technology, (Affiliated to Anna University, Chennai), Koothur, Trichy- 621 216,Tamil Nadu, India,
2. Professor, Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Tiruchirappalli-620002, Tamil Nadu, India,
3. Teacher,Department of Mathematics, National Public School, Jakkur, Bangalore-560064, India,

📄 Abstract

This paper aims at finding patterns of solutions in integers to quaternary quadratic diophantine equation given by .Substitution technique and factorization method are utilized to obtain varieties of integer solutions. It is worth to observe that the introduction of the transformations reduce the quadratic equation with four unknowns to solvable ternary quadratic equation of the form , and square free

🏷️ Keywords

Quaternary quadratic equation Homogeneous quadratic equation Integer solutions

📚 How to Cite:

N.Thiruniraiselvi, M.A.Gopalan, Sharadha Kumar , ON FINDING INTEGER SOLUTIONS TO QUATERNARY QUADRATIC DIOPHANTINE EQUATION xy+12zw=3(x+y)(z+w) , Volume 12 , Issue 7, July 2026, EPRA International Journal of Multidisciplinary Research (IJMR) , Pages: 237 - 243 ,

🔗 PDF URL

https://cdn.eprapublishing.org/article/1783966734936-33.EPRA28683.pdf

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