diff --git a/DA_THPPT_5.pdf b/DA_THPPT_5.pdf
new file mode 100644
index 0000000..ad2a5b3
Binary files /dev/null and b/DA_THPPT_5.pdf differ
diff --git a/FINAL/DoAnMatlab.mlapp b/FINAL/DoAnMatlab.mlapp
index 1de05bf..7f5e92d 100644
Binary files a/FINAL/DoAnMatlab.mlapp and b/FINAL/DoAnMatlab.mlapp differ
diff --git a/FINAL/DoAnTimNghiem/chiadoi.m b/FINAL/DoAnTimNghiem/chiadoi.m
index b280c3b..5189411 100644
--- a/FINAL/DoAnTimNghiem/chiadoi.m
+++ b/FINAL/DoAnTimNghiem/chiadoi.m
@@ -9,6 +9,6 @@
         else
             b = c;
         end
-        n = n + 1;
+        n = n;
     end
 end
\ No newline at end of file
diff --git a/FINAL/DoAnTimNghiem/tieptuyen.m b/FINAL/DoAnTimNghiem/tieptuyen.m
index 20dbd35..4785a02 100644
--- a/FINAL/DoAnTimNghiem/tieptuyen.m
+++ b/FINAL/DoAnTimNghiem/tieptuyen.m
@@ -1,10 +1,10 @@
-function [x3, n3] = tieptuyen(fx, a, b ,saiso)
-    n3 = 0;
-    x3 = (a+b)/2;
-    syms x
-    df = matlabFunction(diff(fx(x)));
-    while abs((x3-fx(x3)/df(x3))-x3) > saiso
-        x3 = x3 - fx(x3)/df(x3);
-        n3 = n3 + 1 ;
-    end    
-end
\ No newline at end of file
+function [x1, n] = tieptuyen(fx, a, b, saiso) 
+    syms x; 
+    df = matlabFunction(diff(fx(x)));  % dao ham fx 
+    x1 = (a + b)/2; 
+    n = 0; 
+    while abs(fx(x1)) > saiso 
+x1 = x1 - fx(x1)/df(x1);  % newton 
+n = n + 1; 
+end 
+end 
\ No newline at end of file