{"status": "success", "data": {"description_md": "Suppose that real number $x$ satisfies $$\\sqrt{49-x^2}-\\sqrt{25-x^2}=3.$$ What is the value of $\\sqrt{49-x^2}+\\sqrt{25-x^2}$?\n\n$\\textbf{(A) }8 \\qquad\n\\textbf{(B) }\\sqrt{33}+8\\qquad\n\\textbf{(C) }9 \\qquad\n\\textbf{(D) }2\\sqrt{10}+4 \\qquad\n\\textbf{(E) }12 \\qquad$", "description_html": "<p>Suppose that real number  <span class=\"katex--inline\">x</span>  satisfies  <span class=\"katex--display\">\\sqrt{49-x^2}-\\sqrt{25-x^2}=3.</span>  What is the value of  <span class=\"katex--inline\">\\sqrt{49-x^2}+\\sqrt{25-x^2}</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }8 \\qquad\n\\textbf{(B) }\\sqrt{33}+8\\qquad\n\\textbf{(C) }9 \\qquad\n\\textbf{(D) }2\\sqrt{10}+4 \\qquad\n\\textbf{(E) }12 \\qquad</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": "2018 AMC 10A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10A_p11", "prev": "/problem/18_amc10A_p09"}}