Question

Gsiti cifrele a si b ale bazei 10 stiind csa:
aaa-abb+3x(b-a)=patrat perfect

Answer 1

100a+11a-(100b+11b)+3a-3b=patrat perfect
11a-11b+3b-3a=patrat perfect
8a-8b=patrat perfect
8(a-b)=patrat perfect
a, b cifre, a>b, a≥1

A. 8*2=16, patrat perfect
a-b=2  a=2, b=0,     a=3, b=1.........a=8;b=6;  a=9, b=7

B.8*8=64 , patrat perfect
 a-b=8.  a=8, b=0 si a=9, b=1

Deci S= {(2;0);(3;1);(4;2);(5;3);(6;4);(7;5);(8;6);(9;7);(8;0);(9;1)}