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Home » Total calories: \( 25,200 + 27,200 + 28,000 = 80,400 \) - Tacotoon

Total calories: \( 25,200 + 27,200 + 28,000 = 80,400 \) - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 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 \( x + y \).

📌 x + y = \pm 10

📌 Now compute \( x^2 - y^2 = (x - y)(x + y) \):

📌 If \( x + y = 10 \), then \( x^2 - y^2 = 4 \cdot 10 = 40 \)

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