Can You Solve This Fractional Exponent Equation? скачать в хорошем качестве

Can You Solve This Fractional Exponent Equation?

Can you find x from this challenging equation? Solve: x^(1/10) + x^(1/15) = 150, Find x This problem combines tenth roots and fifteenth roots equaling 150, which looks incredibly difficult! But there's a powerful substitution technique using the LCM of the exponents. The key is recognizing that 1/10 and 1/15 have LCM = 1/30, so let y = x^(1/30). This transforms the equation into y³ + y² = 150, a much simpler polynomial equation. 💡 Pause and try solving it before watching! This problem teaches you: ✓ Fractional exponent equations ✓ Strategic substitution methods ✓ LCM of exponents approach ✓ Polynomial transformation ✓ Working with multiple root types 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 clean answer! 👍 Like if you cracked the substitution! 💬 Share your approach in the comments 🔔 Subscribe for more challenging Olympiad problems #matholympiad #mathematics #algebra #fractionalexponents #substitution #exponents #roots #problemsolving #mathchallenge #competitionmath #mathpuzzle #stem #precalculus