Answer :

Answer:

Step-by-step explanation:

Given that

[tex]x^2 ≡ 53 (mod 77)[/tex]

Right side has values as

53, 53+77, 53+2(77),+....

We have to find one which is a perfect square.

We have from this series 361 is 19 square

Thus [tex]x =19.[/tex]

Next is [tex]x^2=900\\x=30[/tex]

[tex]x^2=2209\\x=47[/tex] and so on.

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