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Home » Graduation Cake Designs That Will Make Your Ceremony Unforgettable! - Nelissen Grade advocaten

Graduation Cake Designs That Will Make Your Ceremony Unforgettable! - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 x^4 + 1 = x^4 + \frac{1}{x^4} \cdot x^4 = x^4 + 1 \Rightarrow \text{Still not helpful}

📌 Let’s try plugging values:

📌 Let $ x = \frac{5 + \sqrt{21}}{2} $, then $ x + \frac{1}{x} = 5 $. Compute numerically:

📌 x = \frac{5 + \sqrt{21}}{2} \approx \frac{5 + 4.583}{2} = \frac{9.583}{2} \approx 4.7915

📌 Then $ x^2 \approx 22.96 $, so:

📌 \frac{x^2 + 1}{x^2 - 1} + \frac{x^2 - 1}{x^2 + 1} \approx \frac{23.96}{21.96} + \frac{21.96}{23.96} \approx 1.093 + 0.917 = 2

📌 Final Answer:

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#### 116
Actually: 2⁸⁰ = 120892581961462417476233206292340255376
2⁶⁴ = 18446744073709551616
Difference = 120892581961462417476233206292340255376 − 184467440737095...
But for compact:
≈ 1.2089 × 10¹⁹ → but per format, use exact expression? But answer exp...
#### 120892059414852865724713604639740173760
But this is too long. Instead, recognize:
Factor: 2⁶⁴(2¹⁶ − 1) = 18446744073709551616 × (65536 − 1) = 1844674407...
Now compute:

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