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Home » بتوسيع وتعويض $x^2 + y^2 + z^2 = 2a^2$: - AMAZONAWS

بتوسيع وتعويض $x^2 + y^2 + z^2 = 2a^2$: - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
بتوسيع وتعويض $x^2 + y^2 + z^2 = 2a^2$:

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📌 This suggests that $ f(n) = n^3 $ for $ n = 3, 4, 5, 6 $. However, $ f(x) $ is a cubic polynomial, and $ x^3 $ is already a cubic polynomial. Since a cubic is uniquely determined by four points, and $ f(n) = n^3 $ satisfies all four conditions, we conclude:
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📌 C(2) = 3(2)^2 - 12(2) + k = 3 \cdot 4 - 24 + k = 12 - 24 + k = -12 + k

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  • + (next) too big. Try 31 + 7 = 38 → both primes, distinct → yes.
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