Solve-on-Z-4-ax-b-0-4-a-b-Z-4-ax-2-bx-c-0-4-a-b-c-Z-4-

Question Number 14988 by 433 last updated on 06/Jun/17

$${Solve}\:{on}\:\mathbb{Z}_{\mathrm{4}} \: \\ $$$${ax}+{b}=\left[\mathrm{0}\right]_{\mathrm{4}} \:\:{a},{b}\in\mathbb{Z}_{\mathrm{4}} \\ $$$${ax}^{\mathrm{2}} +{bx}+{c}=\left[\mathrm{0}\right]_{\mathrm{4}} \:\:{a},{b},{c}\in\mathbb{Z}_{\mathrm{4}} \\ $$

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

$$\mathrm{2}\:{independent}\:{equations} \\ $$

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