Germany | Can you solve this? | Math Olympiad Problem

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In this videos, I’ll show you how to solve Math Olympiad questions step by step. Whether you’re preparing for international math competitions, university entrance exams, or just looking to sharpen your skills, this video is for you!

Topics covered include:
Algebra and Exponential Problems
Solving Quadratic Equations
Olympiad Preparation Tips
High School and Advanced Math Tricks

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[Quest]

On solving x= (√5-1)/2> 0 n
1/x = (√5+1)/2
? = {X+(1/x)}^2-2= 5- 2= 3

[GillesF]

I think that only the author of such an equation can solve it since the keys to reasoning are almost undetectable except for the one who imagined them. I found the right answer (=3) with a master key.

x³ = √5 - 2 => x² + 1/x² = ?

x³ = √5 - 2

x = ³√(√5 - 2)

x = 0.618034

if x = 0.618034 then

x² + 1/x² = 0.618034² + 1/0.618034²

x² + 1/x² = 3

■ final answer: x² + 1/x² = 3

🙂