Let
be two natural numbers. When we divide
by
, we the the remainder
and the quotient
Determine all pairs
for which
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Let $a,b$ be two natural numbers. When we divide $a^2+b^2$ by $a+b$, we the the remainder $r$ and the quotient $q.$ Determine all pairs $(a, b)$ for which $q^2 + r = 1977.$
Školjka