In this video, I solve the 2001 German Math Olympiad problem: Find q so that the quartic equation x⁴ - 40x² + q has roots forming an arithmetic progression. I’ll take you through the entire solution process, explaining how to determine the value of q and apply key concepts from algebra, sequences, and polynomials (Vieta's formulas).

Whether you're preparing for math competitions or looking to improve your algebra skills, this tutorial will break down the problem into simple, digestible steps. By the end of this video, you'll understand how to solve complex problems involving roots in arithmetic progression and gain deeper insight into algebraic equations.

What you’ll learn in this video:
Solving quartic equations with roots in arithmetic progression.
Applying properties of polynomials and sequences.
Step-by-step solution of a Math Olympiad problem.
How to find unknowns in algebraic expressions.

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