if the minimum value {x² + (a+b)x + (1-a-b)} > the maximum value of {-x² + (a+b)x - (1-a+b)}
Then prove that a² + b² < 4
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A man found a cocoon. One day a small opening appeared; he sat and watched the butterfly for several hours as it struggled to force its body through the little hole. Then it seemed to stop making any progress. It appeared as if it had gotten as far as it could and could not go on further. So the man decided to help the butterfly.
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