2013 Mock AIME I Problems/Problem 11

Problem

Let $a,b,$ and $c$ be the roots of the equation $x^3+2x-1=0$ , and let $X$ and $Y$ be the two possible values of $\dfrac{a}{b}+\dfrac{b}{c}+\dfrac{c}{a}.$ Find $(X+1)(Y+1)$ .

Solution

$\boxed{015}$ .

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2013 Mock AIME I Problems/Problem 11

Problem

Solution

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