Need help with these two Intro to Elementary Number Theory Homework Problems. The quadratic congruence below has at least one solution modulo 41. Enter the smallest positive integer solution of the quadratic congruence.(Note that 41 is prime.)Type your answer...2x2+3x+6=0 (mod 41) Let n = 35, determine the total number of solutions modulo n toand enter it below. (Note that 35 is not prime.)Type your answer...x² = 11 (mod n)

Since 6 -35 (mod 41), we have 2x2 + 3x + 6 0 (mod 41) => 2x2 + 3x - 35 0 (mod 41)…

Answered: The quadratic congruence below has at…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The quadratic congruence below has at least one solution modulo 41. Enter the smallest positive integer solution of the quadratic congruence. (Note that 41 is prime.) Type your answer... 2x²+3x+6=0 (mod 41)