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Find the set of all real 'a' such that 5...

Find the set of all real 'a' such that `5a^(2)-3a-2,a^(2)+a-2` and `2a^(2)+a-1` are the lenghts of the sides of a triangle?

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The correct Answer is:
(`(3+sqrt57)/(8) lt a lt (5+sqrt17)/(4))`
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