How many roots does the equation y^2 = x^3 + x + 6 (mod 5 * 9^2) have?

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Homework Help Overview

The discussion revolves around finding the roots of the equation y^2 = x^3 + x + 6 (mod 5 * 9^2). Participants are exploring the nature of the equation and its roots in modular arithmetic.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to identify the roots of the equation and are questioning the correct form of the equation, with some suggesting it can be expressed as a function of two variables.

Discussion Status

The discussion is ongoing, with participants clarifying the nature of the equation and exploring its representation. There is no explicit consensus on the interpretation, but there is engagement in refining the understanding of the problem.

Contextual Notes

Some participants have provided potential roots mod 5, but the overall context of the problem remains under exploration, with no complete information on roots mod 5 * 9^2 yet discussed.

SneakyG
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What are the 4 roots of a function y^2 = x^3 + x + 6 (mod 5 * 9^2)?

I don't know where to start a problem like this. The roots mod 5 are (0,1) (0,4) (2,1) (2,4) (3,1) (3,4) (4,2) (4,3) if that helps
 
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is this a function of the form

g(x,y) = x^3 + x + 6 * (mod 5 * 9^2) - y^2
 
I think it is meant to be in the form I posted
 
What you posted is not a "function", it is an "equation". It would be equivalent to
f(x)= 0 where f is the function jedishrfu gave.
 

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