Exponential Diophantine Equations Concerning Numbers in Reverse Order | Chapter 9 | Research Updates in Mathematics and Computer Science Vol. 7

 

In this scholarly article, we delve into the intricate realm of exponential Diophantine equations, specifically those pertaining to the reversal of digits denoted by 29𝑥 +92𝑦 =𝑧2, 38𝑥 +83𝑦 =𝑧2, 47𝑥 +74𝑦 =𝑧2, 56𝑥 +65𝑦 =𝑧2. Within this context, to determine if a distinct solution exists for the considered exponential equation, it is finally revealed that it has infinitely many solutions, but all of the aforesaid exponential equations have a similar solution, identified as (1,1,11).

 

 

Author(s) Details

Janaki G.

Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Trichy – 18, India.

Gowri Shankari A.

Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Trichy – 18, India.

 

 

Please see the book here:- https://doi.org/10.9734/bpi/rumcs/v7/437