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Home » Let $x = \sin z$. Then: - DNSFLEX

Let $x = \sin z$. Then: - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Using the roots, \( (x - 3)(x + 2) = x^2 - x - 6 \)

📌 Thus, \( a = 1, b = -1, c = -6 \)

📌 \( a + b + c = 1 - 1 - 6 = -6 \)

📌 The sum of an arithmetic series with 10 terms is 150, and the first term is 5. Find the common difference.

📌 Sum formula: \( S_n = \frac{n}{2}(2a + (n-1)d) \)

📌 \( 150 = \frac{10}{2}(2 \times 5 + 9d) \)

📌 \( 150 = 5(10 + 9d) \)

📌 \( 150 = 50 + 45d \)

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k \ln(1.2) > \ln(5) \Rightarrow k > \frac{\ln 5}{\ln 1.2} \approx \fra...
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