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Home » 9(x - 3)^2 - 16(y - 2)^2 = 88 - Portal da AcÃºstica

9(x - 3)^2 - 16(y - 2)^2 = 88 - Portal da AcÃºstica

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Solve for \(x\) in the quadratic equation \(2x^2 - 3x - 5 = 0\).

📌 Use the quadratic formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) where \(a = 2\), \(b = -3\), \(c = -5\).

📌 Discriminant: \(b^2 - 4ac = (-3)^2 - 4 \times 2 \times (-5) = 9 + 40 = 49\).

📌 \(x = \frac{-(-3) \pm \sqrt{49}}{2 \times 2} = \frac{3 \pm 7}{4}\).

📌 \(x = \frac{10}{4} = 2.5\) or \(x = \frac{-4}{4} = -1\).

📌 #### \(x = 2.5\) or \(x = -1\)

📌 The function \(g(t) = t^2 e^t\) is differentiated. What is \(g'(t)\)?

📌 Use the product rule: \((uv)' = u'v + uv'\). Let \(u = t^2\), \(v = e^t\).

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