Question

aflati cifrele asi b stiind ca ab+ba, respectiv ab-ba sunt patrate perfetcte.

Answer 1

10a+b+10b+a=11(a+b) care e patrat perfect daca a+b=11
10a+b-10b-a=9(a-b) care e patrat perfect daca:
1. a-b=1=>a=1+b
1+b+b=11
2b=10
b=5 a=6

2.a-b=4=>a=4+b
4+b+b=11
2b=5 de unde b nu e cifra

3.a-b=9=>a=9+b
9+b+b=11
2b=2
b=1 a=10