(In reply to
solution by Charlie)
I don't know if a negative base makes too much sense, but your quadratic equation has another solution: b=1
211 in base 1 can be interpreted as 2(1)^2 + 1(1) + 1 =2
110 in base 1 can be interpreted as a tally 1(1) + 1(1) + 0 = 2
I'm not saying this should count as a solution, but it find it interesting.

Posted by Jer
on 20160317 11:10:59 