Suma kwadratów cech

[mol_ksiazkowy]

Dla jakich \(\displaystyle{ x_1 >x_2 >x_3 >x_4 >x_5 >0}\),
gdzie \(\displaystyle{ x_j \in N}\)
\(\displaystyle{ \lfloor \frac{x_1+x_2}{3} \rfloor ^2 + \lfloor \frac{x_2+x_3}{3} \rfloor ^2 + \lfloor \frac{x_3+x_4}{3} \rfloor ^2 + \lfloor \frac{x_4+x_5}{3} \rfloor ^2 =38}\)
?

[Medea 2]

Wskazówka: jedyne rozbicia \(\displaystyle{ 38}\) na cztery kwadraty to \(\displaystyle{ 0 + 1 + 1 + 36}\), \(\displaystyle{ 0 + 4 + 9 + 25}\), \(\displaystyle{ 4 + 9 + 9 + 16}\).

Ukryta treść:    

\(\displaystyle{ 7, 6, 5, 4, 2}\)
\(\displaystyle{ 8, 6, 5, 4, 2}\)
\(\displaystyle{ 7, 6, 5, 4, 3}\)
\(\displaystyle{ 8, 6, 5, 4, 3}\)