working in base 10
1010 = 3^3 + 3^1 = 30
2 n^2 + 3 n + 1 = 30 ... 2 n^2 + 3 n - 29 = 0
check your numbers ... something is amiss
1010 base three=231 base n.find the value base n with working
3 answers
1*3^3 + 0*3^2 + 1*3 + 0*1 = 27 + 3 = 30 in base 10
2 n^2 + 3 n + 1 = 30
2 n^2 + 3 n - 29 = 0
n = 3.131, no integer roots.
2 n^2 + 3 n + 1 = 30
2 n^2 + 3 n - 29 = 0
n = 3.131, no integer roots.
glad we agree anyway :)