Solve This Mind-Bending Exponential Equation | Madhava Mathematics Competition 2025 Problem
Автор: Maths Lover
Загружено: 2025-12-17
Просмотров: 318
Описание:
In this video, we solve Problem 5 from the Madhava Mathematics Competition 2025 (also referenced as MMC2024). We tackle the equation:
x^2 - 31x + 220 = 2^x (31 - 2x - 2^x)
We’ll walk through the step-by-step solution in an easy-to-understand way, focusing on symmetry and substitution to find the sum of the roots.
✅ Step-by-step reasoning
✅ Clever algebraic manipulation
✅ Quick verification of roots
✅ Final answer explained clearly
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🔍 Answer Options:
(A) 10
(B) 7
(C) 3
(D) 4
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