Ecuatie in trei variabile (clasica)

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Filip Chindea
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Ecuatie in trei variabile (clasica)

Post by Filip Chindea »

Sa se arate ca daca \( xy = z^2 + 1 \) cu \( x,\ y,\ z \) intregi pozitivi, exista \( a, b, c, d \in \mathbb{N} \) astfel incat

\( x = a^2 + b^2,\ y = c^2 + d^2,\ z = ac + bd,\ ad - bc = 1 \).
Life is complex: it has real and imaginary components.
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