feat: update Gemini 2.5 Pro model name (#13306)

Source link - https://cloud.google.com/vertex-ai/generative-ai/docs/models/gemini/2-5-pro

Author: msampathkumar

genai/text_generation/thinking_textgen_with_txt.py

@@ -19,52 +19,56 @@ def generate_content() -> str:
 
     client = genai.Client()
     response = client.models.generate_content(
-        model="gemini-2.5-pro-exp-03-25",
+        model="gemini-2.5-pro-preview-03-25",
         contents="solve x^2 + 4x + 4 = 0",
     )
     print(response.text)
     # Example Response:
     #     Okay, let's solve the quadratic equation x² + 4x + 4 = 0.
     #
-    #     There are a few ways to solve this:
+    #     We can solve this equation by factoring, using the quadratic formula, or by recognizing it as a perfect square trinomial.
     #
     #     **Method 1: Factoring**
     #
-    #     1.  **Look for two numbers** that multiply to the constant term (4) and add up to the coefficient of the x term (4).
-    #         *   The numbers are 2 and 2 (since 2 * 2 = 4 and 2 + 2 = 4).
-    #     2.  **Factor the quadratic** using these numbers:
+    #     1.  We need two numbers that multiply to the constant term (4) and add up to the coefficient of the x term (4).
+    #     2.  The numbers 2 and 2 satisfy these conditions: 2 * 2 = 4 and 2 + 2 = 4.
+    #     3.  So, we can factor the quadratic as:
     #         (x + 2)(x + 2) = 0
-    #         This can also be written as:
+    #         or
     #         (x + 2)² = 0
-    #     3.  **Set the factor equal to zero** and solve for x:
+    #     4.  For the product to be zero, the factor must be zero:
     #         x + 2 = 0
+    #     5.  Solve for x:
     #         x = -2
     #
-    #     This type of solution, where the factor is repeated, is called a repeated root or a root with multiplicity 2.
+    #     **Method 2: Quadratic Formula**
     #
-    #     **Method 2: Using the Quadratic Formula**
+    #     The quadratic formula for an equation ax² + bx + c = 0 is:
+    #     x = [-b ± sqrt(b² - 4ac)] / (2a)
     #
-    #     The quadratic formula solves for x in any equation of the form ax² + bx + c = 0:
-    #     x = [-b ± √(b² - 4ac)] / 2a
-    #
-    #     1.  **Identify a, b, and c** in the equation x² + 4x + 4 = 0:
-    #         *   a = 1
-    #         *   b = 4
-    #         *   c = 4
-    #     2.  **Substitute these values into the formula:**
-    #         x = [-4 ± √(4² - 4 * 1 * 4)] / (2 * 1)
-    #     3.  **Simplify:**
-    #         x = [-4 ± √(16 - 16)] / 2
-    #         x = [-4 ± √0] / 2
+    #     1.  In our equation x² + 4x + 4 = 0, we have a=1, b=4, and c=4.
+    #     2.  Substitute these values into the formula:
+    #         x = [-4 ± sqrt(4² - 4 * 1 * 4)] / (2 * 1)
+    #         x = [-4 ± sqrt(16 - 16)] / 2
+    #         x = [-4 ± sqrt(0)] / 2
     #         x = [-4 ± 0] / 2
-    #     4.  **Calculate the result:**
     #         x = -4 / 2
     #         x = -2
     #
-    #     Both methods give the same solution.
+    #     **Method 3: Perfect Square Trinomial**
+    #
+    #     1.  Notice that the expression x² + 4x + 4 fits the pattern of a perfect square trinomial: a² + 2ab + b², where a=x and b=2.
+    #     2.  We can rewrite the equation as:
+    #         (x + 2)² = 0
+    #     3.  Take the square root of both sides:
+    #         x + 2 = 0
+    #     4.  Solve for x:
+    #         x = -2
+    #
+    #     All methods lead to the same solution.
     #
     #     **Answer:**
-    #     The solution to the equation x² + 4x + 4 = 0 is **x = -2**.
+    #     The solution to the equation x² + 4x + 4 = 0 is x = -2. This is a repeated root (or a root with multiplicity 2).
     # [END googlegenaisdk_thinking_textgen_with_txt]
     return response.text