# Numbers Theory

Find the solutios or prove that there is no solution

A) x^2 ≡ 13 (mod 17)

B) x 2 ≡ 14 (mod 17)

## Answer

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Alessandro Iraci

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The answer is accepted.

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Is the second also x^2 = 14 (mod 17)? Or is there some typo?

Oh wait, those are two separate things, they should not be solved simultaneously. Right?

they are separate

x^2 ≡ 14 (mod 17)

Ok, then I answered, thank you for clarifying.

can you clarify which one is A and which one is B

A has two solutions (x=8 or x=9 mod 17), B has no solution.