Processing math: 100%
 
+0  
 
0
629
1
avatar

If (P_b)*(P_b)=31_b, where P and b represent two distinct digits 0-9 and P is one less than b, what is the value of base b?
 

So I have ((b-1)_b)^2=31_b

 

how do I do this?!  please explain. :)

 Oct 6, 2018
 #1
avatar+6252 
+1

P=b1(b1)2=31b=3b+1b22b+1=3b+1b2=5bb=5 (or 0, but 0 is not a valid base)b=5, P=4(45)2=1610=315

.
 Oct 6, 2018

1 Online Users

avatar