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Editorial
Just factorization and case-working makes a perfect solution. For a hint, let $\sqrt{p}+2\sqrt{q} =k$
$p+4q-343\sqrt{p}-686\sqrt{q}+4\sqrt{pq}+2022=0$ সমীকরণটির মোট কতগুলো পূর্ণসাংখ্যিক সমাধান পাওয়া সম্ভব?
Just factorization and case-working makes a perfect solution. For a hint, let $\sqrt{p}+2\sqrt{q} =k$