{"status": "success", "data": {"description_md": "What is the least possible value of $(xy-1)^2 + (x+y)^2$ for real numbers $x$ and $y$?\n\n$\\textbf{(A)} ~0\\qquad\\textbf{(B)} ~\\frac{1}{4}\\qquad\\textbf{(C)} ~\\frac{1}{2}\\qquad\\textbf{(D)} ~1\\qquad\\textbf{(E)} ~2$", "description_html": "<p>What is the least possible value of  <span class=\"katex--inline\">(xy-1)^2 + (x+y)^2</span>  for real numbers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~0\\qquad\\textbf{(B)} ~\\frac{1}{4}\\qquad\\textbf{(C)} ~\\frac{1}{2}\\qquad\\textbf{(D)} ~1\\qquad\\textbf{(E)} ~2</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": "2021 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10A_p10", "prev": "/problem/21_amc10A_p08"}}