in genai/text_generation/thinking_textgen_with_txt.py [0:0]
def generate_content() -> str:
# [START googlegenaisdk_thinking_textgen_with_txt]
from google import genai
client = genai.Client()
response = client.models.generate_content(
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.
#
# We can solve this equation by factoring, using the quadratic formula, or by recognizing it as a perfect square trinomial.
#
# **Method 1: Factoring**
#
# 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
# or
# (x + 2)² = 0
# 4. For the product to be zero, the factor must be zero:
# x + 2 = 0
# 5. Solve for x:
# x = -2
#
# **Method 2: Quadratic Formula**
#
# The quadratic formula for an equation ax² + bx + c = 0 is:
# x = [-b ± sqrt(b² - 4ac)] / (2a)
#
# 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
# x = -4 / 2
# x = -2
#
# **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. This is a repeated root (or a root with multiplicity 2).
# [END googlegenaisdk_thinking_textgen_with_txt]
return response.text