Write a solution to the quadratic equation a*x^2+b*x+c=0 in a latex format
user
```latex
\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} & {{\rm{when}}} & {ax^2 + bx + c = 0} \\ \end{array}
```
assistant
Write a script that makes a chatroom with gradio
user
```
import gradio as gr

# Define a function to handle user input and generate a response
def chatbot(input_text):
    # Add your logic here to generate a response based on the input text
    response_text = "Hello, you said: " + input_text
    return response_text

# Create a Gradio interface for the chatroom
chatbot_interface = gr.Interface(
    fn=chatbot,
    inputs=gr.inputs.Textbox(label="Say something"),
    outputs=gr.outputs.Textbox(label="Chatbot response")
)

# Launch the chatroom
chatbot_interface.launch()


```

The script creates a simple chatroom using the Gradio library. The `gradio` module is imported at the beginning of the script using the `import gradio as gr` statement.

A function called `chatbot` is defined to handle user input and generate a response. This function takes in a string parameter called `input_text`, which represents the user's message, and generates a response based on the input. In this example, the response is simply the input text with "Hello, you said: " added to the beginning.

A Gradio interface is created using the `gr.Interface` method. This interface defines the chatroom's inputs and outputs, and connects them to the `chatbot` function. In this example, the input is a text box labeled "Say something", and the output is a text box labeled "Chatbot response".

The `chatbot_interface` object is launched using the `launch` method, which starts the chatroom and allows users to interact with the chatbot. When the user enters text in the input textbox and clicks "Submit", the `chatbot` function is called with the input text as a parameter, and the generated response is displayed in the output textbox.

Overall, this script demonstrates how to use Gradio to create a simple chatroom with a chatbot that responds to user input.
assistant