5th British Mathematical Olympiad 1969 Problems

Posted in Posted by Unknown on Wednesday, September 1, 2010 at 1:43 AM
5th British Mathematical Olympiad 1969 Problems1.  Find the condition on the distinct real numbers a, b, c such that (x - a)(x - b)/(x - c) takes all real values. Sketch a graph where the condition is satisfied and another where it is not. 2.  Find all real solutions to cos x + cos5x + cos 7x = 3.
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