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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 🔔 Subscribe for more challenging Olympiad problems #matholympiad #mathematics #algebra #fractionalexponents #exponents #substitution #problemsolving #mathchallenge #competitionmath #mathpuzzle #stem #precalculus