In the five-digit base ten numeral ABCDE, different letters do not necessasrily represent different digits. If this numeral is the fourth power of an integer and if A + C + E = B + D, find the digit C.

Guest Dec 8, 2019

#2**+1 **

In the five-digit base ten numeral ABCDE, different letters do not necessasrily represent different digits. If this numeral is the fourth power of an integer and if A + C + E = B + D, find the digit C.

10^4=10000

17^4=83521

19^4 is too big. so there are only 17-10+1= 8 possible numbers

Since there is only 8 possibilities I would just list them and see which one works for the given equation.

Melody Dec 8, 2019