Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 4 - Section 4.6 - Cryptography - Supplementary Exercises - Page 307: 8

Answer

There are no solutions.

Work Step by Step

Taking the congruence mod 5, we find $x^2$ is congruent to $2$ mod 5. However, the only quadratic residues mod 5 are $1$ and $4$, so this is impossible and there are no solutions.
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