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Home » Solutions: \( x = 1 \) and \( x = 3 \) - RoadRUNNER Motorcycle Touring & Travel Magazine

Solutions: \( x = 1 \) and \( x = 3 \) - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 a^2 + b^2 = 15^2 - 2 \cdot 50

📌 = 225 - 100

📌 Therefore, the sum of the squares of the two quantities is \(oxed{125}\).

📌 A linguist designing a language pattern algorithm observes that for two linguistic parameters \( x \) and \( y \), their difference is 4 and their sum of squares is 58. Find the value of \( x^2 - y^2 \).

📌 \( x^2 + y^2 = 58 \)

📌 We are to find \( x^2 - y^2 \), which factors as:

📌 x^2 - y^2 = (x - y)(x + y)

📌 We already know \( x - y = 4 \), so we need \( x + y \).

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