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Home » Subtract the first equation from the second: - GetMeFoodie

Subtract the first equation from the second: - GetMeFoodie

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Let \( a = 9 \), \( c = 15 \), solve for \( b \): \( 9^2 + b^2 = 15^2 \).

📌 Simplify: \( 81 + b^2 = 225 \).

📌 Subtract 81: \( b^2 = 144 \).

📌 Solve for \( b \): \( b = \sqrt{144} = 12 \).

📌 The sum of the first \( n \) positive integers is 210. Find \( n \).

📌 The sum of the first \( n \) integers is given by \( \frac{n(n+1)}{2} = 210 \).

📌 Solutions are \( n = 20 \) or \( n = -21 \).

📌 Since \( n \) must be positive, \( n = 20 \).

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