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There are two pairs (x,y) of real numbers that satisfy the equation x + y = 3, xy = 1. Given that the solutions x are in the form x = (a pm b*sqrt(c))/d where a, b, c, and d are positive integers and the expression is completely simplified, what is the value of a + b + c+ d ?

 May 9, 2021
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a + b + c + d = 45.

 May 9, 2021

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