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Home » Discriminant: \(b^2 - 4ac = (-4)^2 - 4 \times 2 \times (-6) = 16 + 48 = 64\) - AMAZONAWS

Discriminant: \(b^2 - 4ac = (-4)^2 - 4 \times 2 \times (-6) = 16 + 48 = 64\) - AMAZONAWS

📅 March 6, 2026 👤 scraface
Mar 06, 2026
Discriminant: \(b^2 - 4ac = (-4)^2 - 4 \times 2 \times (-6) = 16 + 48 = 64\)

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📌 Solution: Let $ y = rac{3t}{4 - t^2} $. For $ t > 2 $, denominator $ 4 - t^2 < 0 $, so $ y < 0 $. Rewrite $ y = rac{3t}{-(t^2 - 4)} = - rac{3t}{(t - 2)(t + 2)} $. Let $ t = 2 + \epsilon $, $ \epsilon > 0 $, but instead, analyze $ y $: as $ t o 2^+ $, $ y o -\infty $; as $ t o \infty $, $ y o 0^- $. The minimum value of
📌 \boxed{\frac{\pi (a + b - t)^2}{2ab}}
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