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Home » \( (2) = 2 \) - ToelettAPP

\( (2) = 2 \) - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Instead, note that \(x = m + n\), \(y = n - m\), so \(x^2 - y^2 = (m+n)^2 - (n - m)^2 = 4mn = 4 \cdot 506 = 2024\), so every such pair satisfies the equation.

📌 And different \((m,n)\) may give same \((x,y)\)?

📌 Suppose \((m_1, n_1)\) and \((m_2, n_2)\) give same \((x,y)\):

📌 Then \(m_1 + n_1 = m_2 + n_2\) and \(n_1 - m_1 = y\).

📌 From second: \(n_1 = m_1 + y\), plug: \(m_1 + (m_1 + y) = 2m_1 + y = S\), \(n_1 = m_1 + y\), so \(m_2 + n_2 = 2m_1 + y\).

📌 But without more, hard to compare.

📌 Note that \(m = \frac{x - y}{2}\), \(n = \frac

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