{"status": "success", "data": {"description_md": "**POTD March 1, 2024**\n\nIf $x$ is a positive real number, then the maximum possible value of $\\frac{x^2+2-\\sqrt{x^4+4}}{x}$ can be written as $\\sqrt b - a$, where $a,b,$ are positive integers. Find $a+b$.", "description_html": "<p><strong>POTD March 1, 2024</strong></p>&#10;<p>If <span class=\"katex--inline\">x</span> is a positive real number, then the maximum possible value of <span class=\"katex--inline\">\\frac{x^2+2-\\sqrt{x^4+4}}{x}</span> can be written as <span class=\"katex--inline\">\\sqrt b - a</span>, where <span class=\"katex--inline\">a,b,</span> are positive integers. Find <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #83", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}