{"status": "success", "data": {"description_md": "Points $(\\sqrt{\\pi}, a)$ and $(\\sqrt{\\pi}, b)$ are distinct points on the graph of $y^2+x^4=2x^2y+1$. What is $|a-b|$?\n\n$\\textbf{(A) }1\\qquad\\textbf{(B) }\\dfrac{\\pi}{2}\\qquad\\textbf{(C) }2\\qquad\\textbf{(D) }\\sqrt{1+\\pi}\\qquad\\textbf{(E) }1+\\sqrt{\\pi}$", "description_html": "<p>Points  <span class=\"katex--inline\">(\\sqrt{\\pi}, a)</span>  and  <span class=\"katex--inline\">(\\sqrt{\\pi}, b)</span>  are distinct points on the graph of  <span class=\"katex--inline\">y^2+x^4=2x^2y+1</span> . What is  <span class=\"katex--inline\">|a-b|</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }1\\qquad\\textbf{(B) }\\dfrac{\\pi}{2}\\qquad\\textbf{(C) }2\\qquad\\textbf{(D) }\\sqrt{1+\\pi}\\qquad\\textbf{(E) }1+\\sqrt{\\pi}</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": "2015 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p13", "prev": "/problem/15_amc10A_p11"}}