{"status": "success", "data": {"description_md": "A quadratic equation $ax^2 - 2ax + b = 0$ has two real solutions. What is the average of these two solutions?\n\n$\\mathrm{(A)}\\ 1\\qquad\\mathrm{(B)}\\ 2\\qquad\\mathrm{(C)}\\ \\frac ba\\qquad\\mathrm{(D)}\\ \\frac{2b}a\\qquad\\mathrm{(E)}\\ \\sqrt{2b-a}$", "description_html": "<p>A quadratic equation  <span class=\"katex--inline\">ax^2 - 2ax + b = 0</span>  has two real solutions. What is the average of these two solutions?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 1\\qquad\\mathrm{(B)}\\ 2\\qquad\\mathrm{(C)}\\ \\frac ba\\qquad\\mathrm{(D)}\\ \\frac{2b}a\\qquad\\mathrm{(E)}\\ \\sqrt{2b-a}</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": 1, "problem_name": "2008 AMC 10B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p10", "prev": "/problem/08_amc10B_p08"}}