# Solving x^2 + ax == c (mod x)

• Feb 18th 2010, 06:30 AM
litheumn
Solving x^2 + ax == c (mod x)
Hi

Could anyone point me in the direction of solving the following congruency for x?

x^2 + ax == c (mod x)

It's a problem I've come accross in my messing around and although I've done 2nd year maths at university (not that that counts too much :) ) I can't get very far in solving for x...

Thanks very much for the help!

Wes
• Feb 18th 2010, 10:10 AM
firebio
Quote:

Originally Posted by litheumn
Hi

Could anyone point me in the direction of solving the following congruency for x?

x^2 + ax == c (mod x)

I can't get very far in solving for x...

$x^2 +ax \equiv c$ mod x

$x(x +a) \equiv c$ mod x

$x \equiv 0$ mod x

Hope this helps