Question Number 14988 by 433 last updated on 06/Jun/17
![Solve on Z_4 ax+b=[0]_4 a,b∈Z_4 ax^2 +bx+c=[0]_4 a,b,c∈Z_4](Q14988.png)
$${Solve}\:{on}\:\mathbb{Z}_{\mathrm{4}} \: \\ $$$${ax}+{b}=\left[\mathrm{0}\right]_{\mathrm{4}} \:\:{a},{b}\in\mathbb{Z}_{\mathrm{4}} \\ $$$${ax}^{\mathrm{2}} +{bx}+{c}=\left[\mathrm{0}\right]_{\mathrm{4}} \:\:{a},{b},{c}\in\mathbb{Z}_{\mathrm{4}} \\ $$
Commented by prakash jain last updated on 07/Jun/17
$$\mathrm{Are}\:\mathrm{these}\:\mathrm{to}\:\mathrm{be}\:\mathrm{solved}\:\mathrm{as}\:\mathrm{simultaneous} \\ $$$$\mathrm{equations}\:\mathrm{or}\:\mathrm{these}\:\mathrm{are}\:\mathrm{2}\:\mathrm{independent} \\ $$$$\mathrm{equations}. \\ $$
Commented by 433 last updated on 07/Jun/17
$$\mathrm{2}\:{independent}\:{equations} \\ $$