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Now plug in $ a = 0, b = 1 $: - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 The difference between the squares of two numbers is 45, and their sum is 13. What are the numbers?

📌 Given: \( x^2 - y^2 = 45 \) and \( x + y = 13 \).

📌 Factor the first equation: \( (x-y)(x+y) = 45 \).

📌 Substitute \( x+y = 13 \): \( (x-y)(13) = 45 \).

📌 Thus, \( x-y = \frac{45}{13} \).

📌 \( x + y = 13 \)

📌 \( x - y = \frac{45}{13} \)

📌 Add the equations: \( 2x = 13 + \frac{45}{13} = \frac{169 + 45}{13} = \frac{214}{13} \).

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