Elementary Mathematics Selected Topics And Problem Solving G Dorofeev M Potapov N Rozov.rar -
From the chapter on "Inequalities": Prove that for any real numbers a, b, c, the following inequality holds: a² + b² + c² ≥ ab + bc + ca. Easy, right? Now try the next one: Find all real x such that √(x + 3 - 4√(x - 1)) + √(x + 8 - 6√(x - 1)) = 1. If that second problem excites you (or terrifies you in a good way), then download the .rar . This book has 300 more just like it.
Unearthing a Gem: Why "Elementary Mathematics: Selected Topics and Problem Solving" (Dorofeev, Potapov, Rozov) Still Matters From the chapter on "Inequalities": Prove that for
Always unzip with care (use 7-Zip or WinRAR). Scan the PDF for safety if you downloaded it from a random forum. That said, the digital copy floating around is usually a clean, searchable scan. If that second problem excites you (or terrifies