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Home » $T_4 = S_3 = 4$ - DNSFLEX

$T_4 = S_3 = 4$ - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Y = 4\left(\frac{3}{2}\right)^2 - 12\left(\frac{3}{2}\right) + 9 = 4\left(\frac{9}{4}\right) - 18 + 9 = 9 - 18 + 9 = 0.

📌 Thus, the minimum yield is \(0\) at \(x = \frac{3}{2}\), and the minimum value is \(\boxed{0}\).

📌 Question:** If \(m + n = 7\) and \(m^2 + n^2 = 29\), find \(m^3 + n^3\).

📌 m^3 + n^3 = (m + n)^3 - 3mn(m + n).

📌 We are given \(m + n = 7\) and \(m^2 + n^2 = 29\).

📌 First, compute \(mn\) using the identity:

📌 Now substitute into the formula:

📌 m^3 + n^3 = 7^3 - 3(10)(7) = 343 - 210 = 133.

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