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Prove or disprove the statement: (x N)(y N)[x^2 =y^2 (mod61)x=y(mod61)] mod 61 means modulo 61 but i need your help because i don't understand how

Prove or disprove the statement:

(x N*)(y N*)[x^2 =y^2 (mod61)x=y(mod61)]

mod 61 means modulo 61 but i need your help because i don't understand how to do it

I know that i'm supposed to x, y Z* without applying modulo 61.

could you show all steps so i can understand

(xN)(yN)[x2=y2

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