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Old 09-1-2006, 06:31 PM   #4
T0rajir0u
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Join Date: Aug 2005
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Posts: 2,946
Default Re: Creative Problem Solving

first one number of areas in which m lines divide the plane is { m \choose 2 } + { m \choose 1} + { m \choose 0 } = m(m+1)/2 + 1

gay calculation gives m = 56 exactly o tricky

second one too lazy to do whatever



ps hey guys itt we post problems

- find all positive integers n such that 5^5 - 5^4 + 5^n is square
- find the maximum and minimum value of 3 sin x + 4 cos x
- find the largest even number that can't be expressed as the sum of two positive odd composite numbers
- find all positive integers n such that 2^n - 7 is a square
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Last edited by T0rajir0u; 09-1-2006 at 06:38 PM..
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