P-E-square root and Nthroot-edited

Author: ostad-ai

PE-Heron method for computing square root of positive number.ipynb

@@ -10,7 +10,7 @@
     "**Heron's method** computes the *square root* of a given positive number $x$ by\n",
     " 1) $x_0 \\leftarrow$ some initial guess <br>\n",
     " 2) for $n=0,1,2...$ do: <br>\n",
-    "$\\;\\;\\;\\; x_{n+1}=x_n+\\frac{1}{2}(x_n+\\frac{x}{x_n})$\n",
+    "$\\;\\;\\;\\; x_{n+1}=\\frac{1}{2}(x_n+\\frac{x}{x_n})$\n",
     "\n",
     "YouTube Channel: **@ostad-ai**\n",
     "<br>The Python code is at: https://github.com/ostad-ai/Python-Everything"

PE-Nth root algorithm.ipynb

@@ -10,7 +10,7 @@
     "**Nth root algorithm** computes the *nth root* of a given positive number $x$ by\n",
     " 1) $x_0 \\leftarrow$ some initial guess <br>\n",
     " 2) for $k=0,1,2...$ do: <br>\n",
-    "$\\;\\;\\;\\; x_{k+1}=x_k+\\frac{1}{n}((n-1)x_k+\\frac{x}{x^{n-1}_k})$\n",
+    "$\\;\\;\\;\\; x_{k+1}=\\frac{1}{n}((n-1)x_k+\\frac{x}{x^{n-1}_k})$\n",
     "\n",
     "YouTube Channel: **@ostad-ai**\n",
     "<br>The Python code is at: https://github.com/ostad-ai/Python-Everything"