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Home » From Minute to Meme: The Legendary Yellow Duck That Captivated Millions! - Databee Business Systems

From Minute to Meme: The Legendary Yellow Duck That Captivated Millions! - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 One root near \( x \approx -2.074 \)

📌 But since this is a math olympiad problem expecting exact form, and no rational roots exist, we conclude:

📌 After analyzing, the equation \( x^3 - 4x + 2 = 0 \) has **three real roots**, but none are rational. Using Cardano’s method or numerical approximation, we find:

📌 Using precise computation:

📌 The real solutions are:

📌 x = 2\cos\left(\frac{\pi}{9}\right),\quad 2\cos\left(\frac{5\pi}{9}\right),\quad 2\cos\left(\frac{7\pi}{9}\right)

📌 But since the question asks for real solutions and the polynomial is cubic, we verify via direct root-finding:

📌 Actually, applying the cubic formula or checking discriminant \( \Delta = -4(-4)^3 - 27(2)^2 = 256 - 108 = 148 > 0 \), which implies **three distinct real roots**.

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So $ f $ is both additive and multiplicative. These are very restricti...
Known result: The only functions $ f : \mathbb{R} \to \mathbb{R} $ tha...
$ f(x) = 0 $ for all $ x $
$ f(x) = x $ for all $ x $
Let’s verify both:
$ f(x) = 0 $: $ f(a + b + c) = 0 = 0 + 0 + 0 = f(a) + f(b) + f(c) $, a...
$ f(x) = x $: $ f(a + b + c) = a + b + c = f(a) + f(b) + f(c) $, and $...
Are there any others? Suppose $ f $ is additive and multiplicative. Th...
If $ f(1) = 0 $, then $ f(n) = 0 $ for all integers $ n $, and by addi...
Hence, only two such functions exist.

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Reduction factor: 0.82 per week
Risk after 4 weeks: 740 × (0.82)^4
Risk = 740 × 0.45212176 ≈ <<740*0.45212176=334.569>>334.569 cases
#### 334.569
A gamified biology quiz increases student score multipliers as 1.2 tim...
Level 1: 1.2
Level 2: 1.2 × 1.2 = 1.44
Level 3: 1.44 × 1.2 = 1.728
Level 4: 1.728 × 1.2 = 2.0736
Level 5: 2.0736 × 1.2 = 2.48832

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