{"status": "success", "data": {"description_md": "The real numbers $c,b,a$ form an arithmetic sequence with $a\\ge b\\ge c\\ge 0$. The quadratic $ax^2+bx+c$ has exactly one root. What is this root?\n\n$\\textbf{(A)}\\ -7-4\\sqrt{3}\\qquad\\textbf{(B)}\\ -2-\\sqrt{3}\\qquad\\textbf{(C)}\\ -1\\qquad\\textbf{(D)}\\ -2+\\sqrt{3}\\qquad\\textbf{(E)}\\ -7+4\\sqrt{3}$", "description_html": "<p>The real numbers  <span class=\"katex--inline\">c,b,a</span>  form an arithmetic sequence with  <span class=\"katex--inline\">a\\ge b\\ge c\\ge 0</span> . The quadratic  <span class=\"katex--inline\">ax^2+bx+c</span>  has exactly one root. What is this root?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ -7-4\\sqrt{3}\\qquad\\textbf{(B)}\\ -2-\\sqrt{3}\\qquad\\textbf{(C)}\\ -1\\qquad\\textbf{(D)}\\ -2+\\sqrt{3}\\qquad\\textbf{(E)}\\ -7+4\\sqrt{3}</span> </p>\n<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": 3, "problem_name": "2013 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10B_p20", "prev": "/problem/13_amc10B_p18"}}