{"status": "success", "data": {"description_md": "Given that $x$ and $y$ are distinct nonzero real numbers such that $x+\\tfrac{2}{x} = y + \\tfrac{2}{y}$, what is $xy$?\n\n$\\textbf{(A)}\\ \\frac{1}{4}\\qquad\\textbf{(B)}\\ \\frac{1}{2}\\qquad\\textbf{(C)}\\ 1\\qquad\\textbf{(D)}\\ 2\\qquad\\textbf{(E)}\\ 4\\qquad$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Given that  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  are distinct nonzero real numbers such that  <span class=\"katex--inline\">x+\\tfrac{2}{x} = y + \\tfrac{2}{y}</span> , what is  <span class=\"katex--inline\">xy</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{1}{4}\\qquad\\textbf{(B)}\\ \\frac{1}{2}\\qquad\\textbf{(C)}\\ 1\\qquad\\textbf{(D)}\\ 2\\qquad\\textbf{(E)}\\ 4\\qquad</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2013 AMC 12A Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12A_p09", "prev": "/problem/13_amc12A_p07"}}