Question Number 55771 by Joel578 last updated on 04/Mar/19
$$\mathrm{Find}\:\mathrm{all}\:\mathrm{possible}\:\mathrm{solutions}\:\left({a},\:{b},\:{c}\right)\:\mathrm{from} \\ $$$$\mathrm{Diophantine}\:\mathrm{equation}\:\:\mathrm{2}^{{a}} \:+\:\mathrm{5}^{{b}} \:=\:{c}^{\mathrm{2}} \\ $$