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

[SneakyG]

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

 

[jedishrfu]

is this a function of the form

g(x,y) = x^3 + x + 6 * (mod 5 * 9^2) - y^2

 

[SneakyG]

I think it is meant to be in the form I posted

 

[HallsofIvy]

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.