Find all solutions to \( \sqrt{PASSION} = MISS \) where alphabets stand for distinct digits from 0 to 9.

I 've got an answer by reducing thousands of possibilities to some fifty to hundred and then trial n error. Looking for precise logical arguments leading to solution. Plz help.

## Comments

Sort by:

TopNewestFinally got it.

A long sequence of logical mathematical arguments n Possibilities of MISS reduced to just 6. Then squared all six and only one matches with form of PASSION.

MISS = 2033 is the only solution. – Piyushkumar Palan · 2 years, 11 months ago

Log in to reply

EDITI am sorry About Previous Post,I got the following pairs upon revision

The following prints all possible \(MISS,PASSION\) pairs

– Thaddeus Abiy · 2 years, 11 months agoLog in to reply

– Piyushkumar Palan · 2 years, 11 months ago

hey thanks for ur attempt. But there is/are non-trivial solution(s), where each alphabet stands for different digit.Log in to reply

– Thaddeus Abiy · 2 years, 11 months ago

Sorry,Look at my re-edited solution aboveLog in to reply

– Piyushkumar Palan · 2 years, 11 months ago

yes MISS = 2033 is the only correct solution.Log in to reply

– Abhijit Gokhale · 2 years, 1 month ago

hi piyush, i did the same way. but had to use machine (spreadsheet) for shortlisting 6 possibilities. without machine, i could reach up to m=1,2,3 and s=2,3,4,7,9. please let me know if u found the answer without using machine (calculator or computer).Log in to reply