Can You Solve This Fractional Exponent Equation with a Twist?
Автор: Math Hacks Hub
Загружено: 2025-12-22
Просмотров: 280
Can you find x from this challenging equation?
Solve: 27(x^(1/3) + x^(1/2)) = 2, Find x
This problem features fractional exponents with cube roots and square roots multiplied by 27 and equaling 2! It looks incredibly complex, but there's a strategic substitution technique that transforms this into a polynomial equation. The key is finding the right variable to substitute that handles both fractional exponents elegantly.
💡 Pause and try solving it before watching!
This problem teaches you:
✓ Fractional exponent equations
✓ Strategic substitution methods
✓ Working with multiple root types
✓ Polynomial solving techniques
✓ LCM of exponents approach
Perfect for students preparing for:
• Math Olympiads IMO, AMC, AIME
• Competition mathematics
• Algebra II and Pre-Calculus courses
• Anyone who loves challenging algebra!
The solution requires clever substitution but yields a surprisingly clean answer!
👍 Like if you cracked the substitution!
💬 Share your approach in the comments
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#matholympiad #mathematics #algebra #fractionalexponents #exponents #substitution #problemsolving #mathchallenge #competitionmath #mathpuzzle #stem #precalculus
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