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You’ll Be Obsessed with These Roblox Games to Play—Start Playing NOW! - Databee Business Systems

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📝 Recent Posts

But only pairs where \(a\) and \(b\) have the same sign and same parit...
For \(x\) and \(y\) to be integers, \(a\) and \(b\) must both be even...
Let \(a = 2m\), \(b = 2n\), then \(4mn = 2024 \Rightarrow mn = 506\).
Now \(506 = 2 \cdot 11 \cdot 23\), so it has \((1+1)(1+1)(1+1) = 8\) p...
Thus, 16 valid pairs \((m, n)\), each giving a unique \((x, y)\):
x = \frac{2m + 2n}{2} = m + n, \quad y = \frac{2n - 2m}{2} = n - m
Each such pair yields an integer solution. Therefore, there are 16 lat...
But note: each solution \((x, y)\) is counted once for each factor pai...
Wait: we set \(ab = 2024\), and we require both \(a\) and \(b\) even.
Total factor pairs (positive and negative) where both are even: Since...

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