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Home » Tropicalement Addicted: Discover the Secret to Echoing Paradise Every Day! - Upplift

Tropicalement Addicted: Discover the Secret to Echoing Paradise Every Day! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 \[ x = \frac{9 \pm \sqrt{(-9)^2 - 4 \times 2 \times 7}}{2 \times 2} = \frac{9 \pm \sqrt{81 - 56}}{4} = \frac{9 \pm \sqrt{25}}{4} = \frac{9 \pm 5}{4}. \]

📌 This gives roots \( x = \frac{14}{4} = 3.5 \) and \( x = \frac{4}{4} = 1 \).

📌 The quadratic \( 2x^2 - 9x + 7 \) opens upwards (as \( a > 0 \)), so it is negative between its roots, \( 1 < x < 3.5 \).

📌 The largest integer in this interval is \( x = 3 \).

📌 Thus, the largest integer satisfying the inequality is \( \boxed{3} \).

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

📌 \( a(a + b) = 20 \)

📌 \( a + b = 7 \)

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