{"status": "success", "data": {"description_md": "Suppose that $a$ and $b$ are nonzero real numbers, and that the equation $x^2 + ax + b = 0$ has solutions $a$ and $b$. Then the pair $(a,b)$ is\n\n$\\mathrm{(A)}\\ (-2,1)<br>\\qquad\\mathrm{(B)}\\ (-1,2)<br>\\qquad\\mathrm{(C)}\\ (1,-2)<br>\\qquad\\mathrm{(D)}\\ (2,-1)<br>\\qquad\\mathrm{(E)}\\ (4,4)$\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>Suppose that  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  are nonzero real numbers, and that the equation  <span class=\"katex--inline\">x^2 + ax + b = 0</span>  has solutions  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span> . Then the pair  <span class=\"katex--inline\">(a,b)</span>  is</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ (-2,1)\\qquad\\mathrm{(B)}\\ (-1,2)\\qquad\\mathrm{(C)}\\ (1,-2)\\qquad\\mathrm{(D)}\\ (2,-1)\\qquad\\mathrm{(E)}\\ (4,4)</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": "2002 AMC 12B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p07", "prev": "/problem/02_amc12B_p05"}}