Update readme.md

Co-Authored-By: Antim-IWP <[email protected]>

Author: iamAntimPal

Interview/Python/Solutions/140+ Basic Python Programs/Program 9/readme.md

@@ -0,0 +1,95 @@
+# 📐 Quadratic Equation Solver (Python)
+
+This Python program solves **quadratic equations** of the form:
+
+```
+ax² + bx + c = 0
+```
+
+It uses the quadratic formula to compute the roots.
+
+---
+
+## 📌 Problem Statement
+
+**Write a Python program to solve a quadratic equation.**
+
+---
+
+## 🧮 Quadratic Formula
+
+```
+x = (-b ± √(b² - 4ac)) / 2a
+```
+
+The value inside the square root, `b² - 4ac`, is called the **discriminant (D)**:
+- If D > 0: Two real and distinct roots
+- If D = 0: One real root (repeated)
+- If D < 0: Two complex roots
+
+---
+
+## ✅ Sample Code
+
+```python
+import cmath  # For complex number support
+
+# Get coefficients from user
+a = float(input("Enter coefficient a: "))
+b = float(input("Enter coefficient b: "))
+c = float(input("Enter coefficient c: "))
+
+# Calculate the discriminant
+d = (b**2) - (4*a*c)
+
+# Calculate the roots
+root1 = (-b + cmath.sqrt(d)) / (2*a)
+root2 = (-b - cmath.sqrt(d)) / (2*a)
+
+# Display the result
+print(f"The roots of the equation are {root1} and {root2}")
+```
+
+---
+
+## ▶️ Example Run
+
+```bash
+Enter coefficient a: 1
+Enter coefficient b: -3
+Enter coefficient c: 2
+The roots of the equation are (2+0j) and (1+0j)
+```
+
+---
+
+## 🚀 How to Run
+
+1. Save the code in a file named `quadratic_solver.py`
+2. Run the script using:
+   ```bash
+   python quadratic_solver.py
+   ```
+
+---
+
+## 📁 Suggested Project Structure
+
+```
+quadratic_solver/
+├── quadratic_solver.py
+└── README.md
+```
+
+---
+
+## 💡 You Can Try
+
+- Add input validation for `a != 0`.
+- Format roots to hide the complex notation when not needed.
+- Create a GUI using Tkinter.
+- Add a plot of the quadratic curve using `matplotlib`.
+
+---
+
+Happy Solving! 🧮✨