Add print to .tex file example to examples.ipynb (#199)

* Update examples.ipynb

Duplicating last block to then add a new example

* Update examples.ipynb

Adding example of printing to a .tex file in solve1, the duplicated solve function.

* Update examples.ipynb

Changing output data in notebook under solve1 to explain to user the functionality of printing to the .tex file

* Update examples.ipynb

Modifying print example to align with common python practice by @odashi 's recommendation.

* Update examples.ipynb

Fixing typo in JSON file representation of examples.ipynb

* Update examples.ipynb

Previous JSON file worked, fixing display of the code by removing \t from the added printing example.

* Update examples.ipynb

Removing plain text from output field in JSON description of the .tex output example.

examples/examples.ipynb

@@ -165,6 +165,35 @@
     "\n",
     "solve"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "$$ \\displaystyle \\frac{-b + \\sqrt{b^{{2}} - {4}ac}}{{2}a} $$"
+      ],
+      "text/plain": [
+       "<latexify.frontend.LatexifiedFunction at 0x7f58824de860>"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# We can also print the output to a .tex file\n",
+    "@latexify.expression\n",
+    "def solve1(a, b, c):\n",
+    "    return (-b + math.sqrt(b**2 - 4*a*c)) / (2*a)\n",
+    "\n",
+    "with open('latexifyExample.tex', 'w') as fp: \n",
+    "    print(solve1, file = fp) \n"
+   ]
   }
  ],
  "metadata": {