for Research in Applied Science & Engineering Technology (IJRASET)

ISSN: 2321-9653; IC Value: 45.98; SJ Impact Factor: 7.538

Volume 11 Issue III Mar 2023- Available at www.ijraset.com

Since finding integral solutions is the topic we are interested in, we have choose a and b in such a way that r, s, and z are integers. Let us take =6 and =6 , we have

In terms of (2), the integral solutions of (1) are given

Properties

1. 6 (1,1) is a Perfect square

2. (1,1) is a cubical integer

3. 5 (1,1) is a duck number

4. 12 (1,1) is a palindrom number

5. x(a,1)+ (a,1)

Since finding integral solutions is the topic we are interested in, we have choose a and b in such a way that r, s, and z are integers. Let us take =3 and =3 , we have

In terms of (2), the integral solutions of (1) are given by