Find all pairs of (p, q) integer(s) such that p^3 − q^5 = (p + q)^2


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Question Number 70022 by naka3546 last updated on 30/Sep/19

$F i n d a l l p a i r s o f (p, q) i n t e g e r (s) s u c h t h a t$ $p^{3} - q^{5} = {(p + q)}^{2}$
Commented by MJS last updated on 30/Sep/19

$p = 0 q = 0$ $p = 0 q = - 1$ $p = 1 q = 0$ $p = 7 q = 3$ $no other solution for - 100 ⩽ p, q ⩽ 100$
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