Write a program that has a user defined function to accept the coefficients of a quadratic equation in variables and calculates its determinant. For example : if the coefficients are stored in the variables a, b, c then calculate determinant as b^2-4ac. Write the appropriate condition to check determinants on positive, zero and negative and output appropriate result.

Write a program that has a user defined function to accept the coefficients of a quadratic equation in variables and calculates its determinant. For example : if the coefficients are stored in the variables $\mathrm{a}, \mathrm{b}, \mathrm{c}$ then calculate determinant as $\mathrm{b}^{2}$-4ac. Write the appropriate condition to check determinants on positive, zero and negative and output appropriate result.

Here's a program that defines a user-defined function to calculate and check the determinant of a quadratic equation. The function accepts the coefficients (a), (b), and (c), calculates the determinant, and checks if the determinant is positive, zero, or negative.

# Program to calculate the determinant of a quadratic equation

def calculate_determinant(a, b, c):
    """
    Function to calculate the determinant of a quadratic equation
    with coefficients a, b, and c.
    """
    determinant = b**2 - 4*a*c
    return determinant

def check_determinant(determinant):
    """
    Function to check if the determinant is positive, zero, or negative,
    and print the appropriate result.
    """
    if determinant > 0:
        print("The determinant is positive. The quadratic equation has two distinct real roots.")
    elif determinant == 0:
        print("The determinant is zero. The quadratic equation has one real root.")
    else:
        print("The determinant is negative. The quadratic equation has complex roots.")

# Accept coefficients of the quadratic equation from the user
a = float(input("Enter the coefficient a: "))
b = float(input("Enter the coefficient b: "))
c = float(input("Enter the coefficient c: "))

# Calculate the determinant
det = calculate_determinant(a, b, c)

# Check and print the result
check_determinant(det)

Explanation:

1. Function calculate_determinant(a, b, c):

   • This function calculates the determinant of the quadratic equation using the formula $\text{determinant} = b^2 - 4ac$.

   • It returns the calculated determinant.

2. Function check_determinant(determinant):

   • This function checks if the given determinant is positive, zero, or negative.

   • It prints the appropriate message based on the value of the determinant.

3. Main Program:

   • The program accepts the coefficients (a), (b), and (c) as input from the user.

   • It calls calculate_determinant(a, b, c) to calculate the determinant.

   • It then calls check_determinant(det) to check and print the result.