# 1st: Import the sympy module
import sympy as sp  # Import sympy for symbolic mathematics

# 2nd: Define the symbolic variable
x = sp.symbols('x')  # Define 'x' as a symbolic variable

# 3rd: Define the quadratic equation with constants
a, b, c = 2, -3, 1  # Coefficients of the quadratic equation
quadratic_eq = sp.Eq(a*x**2 + b*x + c, 0)  # Represent the equation as an equality

# 4th: Solve the quadratic equation for 'x'
roots = sp.solve(quadratic_eq, x)  # Compute the roots of the equation

# 5th: Display the roots in a readable format
print("The roots of the quadratic equation are:", roots)  # Output the result

# 1st: Define the given number  
y = -7  # Assign the value -7 to 'y'  

# 2nd: Compute the absolute value  
absolute_value = abs(y)  # Compute the absolute value of 'y'  

# 3rd: Display the result  
print(f"The absolute value of y is: {absolute_value}")  # Output the result

# 1st: Define the range of the variable  
x_range = range(11)  # Create a range from 0 to 10  

# 2nd: Compute the sum of all values in the range  
sum_values = sum(x_range)  # Calculate the sum of integers from 0 to 10  

# 3rd: Display the result  
print(f"The sum of all integer values of x from 0 to 10 is: {sum_values}")  # Output the result

# 1st: Define the function f(x)  
def f(x):  
    return 3*x**2 - 4*x + 5  # Compute f(x) = 3x² - 4x + 5  

# 2nd: Assign the given value of 'x'  
x_val = 2  # Set x = 2  

# 3rd: Evaluate the function at x = 2  
result = f(x_val)  

# 4th: Display the result  
print(f"The value of f(x) when x = {x_val} is: {result}")  # Output the result

# 1st: Import the sympy module  
import sympy as sp  # Import SymPy for symbolic mathematics  

# 2nd: Define the symbolic variable  
x = sp.Symbol('x')  # Define 'x' as a symbolic variable  

# 3rd: Define and solve the absolute value inequality  
inequality = sp.Abs(x - 3) < 5  # Given inequality: |x - 3| < 5  
solution = sp.solve_univariate_inequality(inequality, x)  # Solve for 'x'  

# 4th: Display the solution  
print(f"The solution to the inequality |x - 3| < 5 is: {solution}")  # Output the result