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Let m be the largest real solution to the equation 3/(x-3) + 5/(x-5) + 17/(x-17) + 19/(x-19) = x^2 - 11x - 4. There are positive integers a, b, and c such that m = a + sqrt(b + sqrt(c)). Find a+b+c.

 Jan 24, 2020
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a + b + c = 3 + (-7) + 8 = 4.

 Jan 28, 2020

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