Wednesday, November 17, 2010
1st International Mathematical Olympiad 1959 Problems & Solutions
A1. Prove that (21n+4)/(14n+3) is irreducible for every natural number n. A2. For what real values of x is √(x + √(2x-1)) + √(x - √(2x-1)) = A given (a) A = √2, (b) A = 1, (c) A = 2, where only non-negative real numbers are allowed in square roots and the root always denotes the non-negative root? A3. Let a, b, c be real numbers. Given the equation for cos x:
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