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📅 April 30, 2026 👤 scraface

Apr 30, 2026

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\( a(a + b) = 20 \)
\( a + b = 7 \)
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...
\frac{4}{\sqrt{5} - \sqrt{3}} \cdot \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5...
Thus, the rationalized expression is \( \boxed{2(\sqrt{5} + \sqrt{3})}...
Find the value of \( x \) that satisfies \( \log_2(x^2 - 4) = 3 \).

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