{"status": "success", "data": {"description_md": "What is the graph of $y^4+1=x^4+2y^2$ in the coordinate plane?\n\n$\\textbf{(A) }\\ \\text{two intersecting parabolas} \\qquad \\textbf{(B) }\\ \\text{two nonintersecting parabolas} \\qquad \\textbf{(C) }\\ \\text{two intersecting circles} \\qquad$\n\n$\\textbf{(D) }\\ \\text{a circle and a hyperbola} \\qquad \\textbf{(E) }\\ \\text{a circle and two parabolas}$\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>What is the graph of  <span class=\"katex--inline\">y^4+1=x^4+2y^2</span>  in the coordinate plane?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }\\ \\text{two intersecting parabolas} \\qquad \\textbf{(B) }\\ \\text{two nonintersecting parabolas} \\qquad \\textbf{(C) }\\ \\text{two intersecting circles} \\qquad</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(D) }\\ \\text{a circle and a hyperbola} \\qquad \\textbf{(E) }\\ \\text{a circle and two parabolas}</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": "2022 AMC 12B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12B_p09", "prev": "/problem/22_amc12B_p07"}}