Question

Aratati ca numarul 29^2017 se poate scrie ca o suma de doua patrate perfecte.
$= {29}^{2017}$
Doar b​

Answer 1

Răspuns:

$29 {}^{2017} = 29 \times 29 {}^{2016} \\ 29 = 25 + 4 = > (25 + 4) \times 29 {}^{2016} \\ 5 {}^{2} \times 29 {}^{2016} + 2 {}^{2} \times 29 {}^{2016 } = (5 \times 29 {}^{1008} ) {}^{2} + (2 \times 29 {}^{1008} ) {}^{2} = > suma \: de \: 2 \: p.p.$