On The Diophantine Equation 8^x + 61^y = z^2 and 8^x + 67^y = z^2

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Nonthiya Makate

Abstract

In this paper, we study solutions (x, y, z) where x, y and z are non - negative integers of Diophantine equations  gif.latex?\inline&space;8^{x}+61^{y}=z^{2} and  gif.latex?\inline&space;8^{x}+67^{y}=z^{2} . We find that both of them have a unique solution, that is (x, y, z) = (1, 0, 3).

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How to Cite
Makate, N. (2019). On The Diophantine Equation 8^x + 61^y = z^2 and 8^x + 67^y = z^2. Mathematical Journal by The Mathematical Association of Thailand Under The Patronage of His Majesty The King, 64(697), 24–29. Retrieved from https://ph02.tci-thaijo.org/index.php/MJMATh/article/view/174756
Section
Research Article

References

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