diff --git a/requirements.txt b/requirements.txt
index 96b34d6..befd24e 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -3,4 +3,5 @@ numpy == 2.4.3
 black == 26.3.1
 ipykernel == 7.2.0
 sympy == 1.14.0
-pandas == 3.0.2
\ No newline at end of file
+pandas == 3.0.2
+scipy == 1.17.1
\ No newline at end of file
diff --git a/src/downhill_simplex/2d_optimierungsproblem_1.py b/src/downhill_simplex/2d_optimierungsproblem_1.py
new file mode 100644
index 0000000..ffe15d4
--- /dev/null
+++ b/src/downhill_simplex/2d_optimierungsproblem_1.py
@@ -0,0 +1,8 @@
+from scipy import optimize
+
+def f(x0):
+    x1, x2 = x0
+    return (x1 ** 2 + x2 - 11) ** 2 + (x1 + x2 ** 2 - 7) ** 2
+
+minimum = optimize.fmin(f, [-100,-100])
+print(minimum)