Sum the squares cryptarithmetically, get square

[K Sengupta]

Substitute each of the letters by a different decimal digit from 0 to 9 to satisfy this cryptarithmetic equation:

(PQR)² + (STUQ)² = (SVWX)²

Note: None of P and S can be zero.

 

[dsa]

Spoiler

(125)² + (7812)² = (7813)²

 

[K Sengupta]

Spoiler

(125)² + (7812)² = (7813)²

There seems to be a minor typing error.

U = W = P = 1 contravenes the provision that each letter need to represent a different digit.

 

[dsa]

OK, this one is better

Spoiler

(480)² + (1768)² = (1832)²

 

[K Sengupta]

OK, this one is better

Spoiler

(480)² + (1768)² = (1832)²

Very good, dsa.

I am now certain that you will be able to obviate the ambiguity corresponding to V=Q=8.

 

[dsa]

Very good, dsa.

I am now certain that you will be able to obviate the ambiguity corresponding to V=Q=8.

I cannot find a solution for all unique PQRSTUVWX