exact solutions

solutions_sympy.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "88746977-dbf4-47ae-8588-8803c0e02de4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from sympy.abc import x, u\n",
    "from sympy import solve, N\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87129f36-6f41-47f9-99e4-b56087a0bd10",
   "metadata": {},
   "source": [
    "## Degree 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bfeb9d60-7226-41c9-92b1-bb97ac2532fc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "int64_max = np.iinfo(np.int64).max"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a52d9a2-ce72-4702-a832-212a7fe7115d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3037000499.47605\n"
     ]
    }
   ],
   "source": [
    "solutions = solve(x**2 + x - int64_max, x)\n",
    "print(N(solutions[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40705a67-ab17-4cce-b047-01c0310289e2",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Degree 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "37add24c-de2e-42c3-ab42-b9d497b0e965",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2097151.00000016\n"
     ]
    }
   ],
   "source": [
    "solutions = solve(x * (x**2 + 3 * x + 2) - int64_max, x)\n",
    "print(N(solutions[-1]))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "sympy (python3)",
   "language": "python",
   "name": "conda-env-sympy-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}