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Home » Solution: To solve for \( h(x^2 - 2) \), start with the given function: - Silent Sales Machine

Solution: To solve for \( h(x^2 - 2) \), start with the given function: - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Solve for \(x\) in the equation \(2x^2 - 8x + 6 = 0\).

📌 Use the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).

📌 Here, \(a = 2\), \(b = -8\), \(c = 6\).

📌 \(x = \frac{8 \pm \sqrt{(-8)^2 - 4 \times 2 \times 6}}{4} = \frac{8 \pm \sqrt{64 - 48}}{4} = \frac{8 \pm \sqrt{16}}{4}\).

📌 \(x = \frac{8 \pm 4}{4}\), so \(x = 3\) or \(x = 1\).

📌 A box has dimensions 2 units by 3 units by 4 units. If each dimension is doubled, what is the volume of the new box?

📌 Original volume is \(2 \times 3 \times 4 = 24\) cubic units.

📌 New dimensions are 4, 6, and 8 units.

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