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Home » This Bat Face Moment Will Cast You INTO A Nightmare ( confess First!) - SUpost

This Bat Face Moment Will Cast You INTO A Nightmare ( confess First!) - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 Solve the quadratic inequality \( 2x^2 - 9x + 7 < 0 \).

📌 First, find the roots of the equation \( 2x^2 - 9x + 7 = 0 \) using the quadratic formula:

📌 where \( a = 2 \), \( b = -9 \), \( c = 7 \).

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

📌 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 \( \boxed{3} \).

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