Can You Find x¹¹ + y¹¹ Without Solving for x and y?
Автор: Math Hacks Hub
Загружено: 2026-02-15
Просмотров: 151
Описание:
Can you calculate x¹¹ + y¹¹ without finding x and y?
Given: x + y = 1 and x² + y² = 2, Find x¹¹ + y¹¹ = ?
💡 Pause and try solving it before watching!
This problem teaches you:
✓ Newton's identities application
✓ Recursive pattern building
✓ Vieta's formulas usage
✓ Power sum techniques
✓ Avoiding direct calculation
Perfect for students preparing for:
• Math Olympiads (IMO, AMC, AIME)
• Competition mathematics
• Advanced Algebra courses
• Anyone who loves recursive patterns!
The solution uses beautiful recursion to build up to the 11th power!
👍 Like if you built the pattern!
💬 Share your approach in the comments
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#matholympiad #mathematics #algebra #newtonsidentities #recursivepatterns #powersums #vietasformulas #problemsolving #mathchallenge #competitionmath #mathpuzzle #stem #advancedmath
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