Possible values in an equation

Tking

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Feb 9, 2015
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Given that 60x3 – 98x2 - kx - 84 = 0. If x is a rational number such that 1.1 < x < 3.8 and if k is a positive integer, find the sum of all possible distinct values of k.

I have no idea where to go with this, please help if you have any ideas.
 
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