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Home » Edge set: say \( AB, BC, DE \). Then: - jntua results

Edge set: say \( AB, BC, DE \). Then: - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 rac{1 + 2 + 4 + 8}{2^{1.5}} = rac{15}{2\sqrt{2}} pprox rac{15}{2.828} pprox 5.3 < 6

📌 Try $ r = 3 $:

📌 rac{1 + 3 + 9 + 27}{3^{1.5}} = rac{40}{3\sqrt{3}} pprox rac{40}{5.196} pprox 7.7 > 6

📌 Try $ r = 2.5 $:

📌 r^{1.5} = (2.5)^{1.5} = \sqrt{2.5^3} = \sqrt{15.625} pprox 3.95

📌 Numerator: $ 1 + 2.5 + 6.25 + 15.625 = 25.375 $

📌 Then: $ rac{25.375}{3.95} pprox 6.42 > 6 $

📌 Try $ r = 2.3 $:

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5Question: Let $ f(x) $ be a polynomial such that $ f(x^2 + 2) = x^4 +...
Solution: Let us define $ f(u) $ such that $ f(x^2 + 2) = x^4 + 4x^2 +...
x^4 + 4x^2 + 4 = (x^2 + 2)^2
Thus, $ f(x^2 + 2) = (x^2 + 2)^2 $, which implies that $ f(u) = u^2 $.
Now, substitute $ u = x^2 - 2 $ into $ f(u) $:
f(x^2 - 2) = (x^2 - 2)^2 = x^4 - 4x^2 + 4
oxed{x^4 - 4x^2 + 4}
Question: Let $ p $ and $ q $ be real numbers such that $ p + q = 5 $...
Solution: We are given $ p + q = 5 $ and $ pq = 6 $. We use the identi...
p^3 + q^3 = (p + q)^3 - 3pq(p + q)

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