Convert the number system 244n=1022base4 find n

Answer 1

244n=1022base4
2n^2 + 4n + 4 = 1(4^3) + 0(4^2) + 2(4) + 2
2n^2 + 4n + 4 = 74
n^2 + 2n - 35 = 0
(n+7)(n-5) = 0
n = 5 or n = -7, but I don't know if you want a negative base

btw, the 5 in n=5 would be in base 10