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Home » Mac Users: Save Your Sanity—Ultimate Guide to Recover Unsaved Word Files! - Moon Smoking

Mac Users: Save Your Sanity—Ultimate Guide to Recover Unsaved Word Files! - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 If \( a \cdot (a + b) = 20 \) and \( a + b = 7 \), find the value of \( a \).

📌 \( a(a + b) = 20 \)

📌 \( a + b = 7 \)

📌 Substitute equation (2) into equation (1):

📌 \[ a \cdot 7 = 20 \Rightarrow 7a = 20 \Rightarrow a = \frac{20}{7}. \]

📌 Thus, the value of \( a \) is \( \boxed{\frac{20}{7}} \).

📌 Rationalize the denominator of \( \frac{4}{\sqrt{5} - \sqrt{3}} \).

📌 To rationalize the denominator, multiply numerator and denominator by the conjugate \( \sqrt{5} + \sqrt{3} \):

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