A + b =17
a^3 + b^3 = 1547
a = 17 - b
(17 - b)^3 + b^3 = 1547
(17 - b + b)((17 - b)^2 - b(17 - b) + b^2) = 1547
17(289 - 34b + b^2 - 17b + b^2 + b^2) = 1547
289 - 51b + 3b^2 = 1547/17
3b^2 - 51b + 289 - 91 = 0
3b^2 - 51b + 198 = 0
b^2 - 17b + 66 = 0
D = (-17)^2 - 4*66 = 25
b1 = (17 + 5)/2 = 22/2 = 11
b2 = (17 - 5)/2 = 12/2 = 6
a1 = 17 - 11 = 6
Ответ 11 и 6