A. Listen To Your Heart

Codeforces
IDCF10263A
Time2000ms
Memory16MB
Difficulty
English · Original
Formal · Original
To solve this task you should either solve the given equation or listen to your heart. Find an integer $x$ such that $$ \bigg(\sqrt{x-3} - \sqrt[3]{\frac{3x+2}{2}}\bigg)^7 = \bigg(x - \sqrt{\frac{x^2-1984}{5}}\bigg)^3. $$ It is guaranteed that this equation has only one integer solution $x$. Output the integer solution $x$ of the equation. ## Output Output the integer solution $x$ of the equation. [samples]
Find integer $ x $ such that $$ \left( \sqrt{x - 3} - \sqrt[3]{\frac{3x + 2}{2}} \right)^7 = \left( x - \sqrt{\frac{x^2 - 1984}{5}} \right)^3. $$
API Response (JSON)
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      "statement_type": "Markdown",
      "content": "Find integer $ x $ such that  \n$$\n\\left( \\sqrt{x - 3} - \\sqrt[3]{\\frac{3x + 2}{2}} \\right)^7 = \\left( x - \\sqrt{\\frac{x^2 - 1984}{5}} \\right)^3.\n$$...",
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