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Home » Top Secret Hack: Why Every Seat with Cover Is a Game-Changer—See Inside! - Sterling Industries

Top Secret Hack: Why Every Seat with Cover Is a Game-Changer—See Inside! - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 Compute the product of the roots of the equation \( v\sqrt{v} - 5v + 6\sqrt{v} = 0 \), given that all of the roots are real and positive.

📌 First, let \( \sqrt{v} = t \), then \( v = t^2 \). Substitute into the equation:

📌 t^2 t - 5t^2 + 6t = 0 \implies t^3 - 5t^2 + 6t = 0

📌 Factor out \( t \):

📌 t(t^2 - 5t + 6) = 0

📌 This gives the factors \( t = 0 \) and \( t^2 - 5t + 6 = 0 \). Solve the quadratic equation:

📌 t^2 - 5t + 6 = 0

📌 t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \frac{5 \pm \sqrt{25 - 24}}{2} = \frac{5 \pm 1}{2}

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2x + 3 = -\frac{1}{2}x + \frac{5}{2}
分数をなくすために両辺に 2 を掛けます:
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5x = -1 \implies x = -\frac{1}{5}
\(x = -\frac{1}{5}\) を \(y = 2x + 3\) に代入します:
y = 2\left(-\frac{1}{5}\right) + 3 = -\frac{2}{5} + 3 = \frac{13}{5}
したがって、直線 \(y = 2x + 3\) 上の点 \((1, 2)\) に最も近い点は \(\le...
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