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**Discriminant:**

The distinguishing feature is the naming convention applied to the mathematical expression that appears beneath the root (radical) sign up the quadratic formula.

**Formula :**

Discriminant = (b**2) – (4*a*c)

a, b, c are the three different points.

Given three points a, b, c, and the task is to calculate the given discriminant value.

**Examples:**

**Example 1:**

**Input:**

GivenÂ x= 1 GivenÂ y= 4 GivenÂ z= 4

**Output:Â **

The given Discrimant value = 0 The obtained discriminant has only one solution

**Example 2:**

**Input:**

GivenÂ x= 5 GivenÂ y= 20 GivenÂ z= 7

**Output:Â **

The given Discrimant value = 260 The obtained discriminant has two possible solutions

## Program to Calculate the Discriminant Value

Below are the ways to calculate the given discriminant value.

### Method #1: Using Mathematical Formula (Static Input)

**Approach:**

- Give the first number as static input and store it in a variable.
- Give the second number as static input and store it in another variable.
- Give the third number as static input and store it in another variable.
- Calculate the discriminant value for the given three points and store it in another variable.
- Print the obtained discriminant value.
- Check if the value of the discriminant is greater than zero using the if conditional statement.
- If the statement is true, then print “The obtained discriminant has two possible solutions”.
- Check if the value of the discriminant is equal to zero using the elif conditional statement.
- If the statement is true, then print “The obtained discriminant has only one solution”.
- Check if the value of the discriminant is less than zero using the elif conditional statement.
- If the statement is true, then print “The obtained discriminant has No solutions”.
- The Exit of the program.

**Below is the implementation:**

# Give the first number as static input and store it in a variable. x = 2 # Give the second number as static input and store it in another variable. y = 4 # Give the third number as static input and store it in another variable. z = 6 # Calculate the discriminant value for the given three points and # store it in another variable. Disimint = (y**2) - (4*x*z) # Print the obtained discriminant value. print("The given Discrimant value = ", Disimint) # Check if the value of the discriminant is greater than zero using the # if conditional statement. if Disimint > 0: # If the statement is true, then print "The given obtained has two possible solutions". print("The obtained discriminant has two possible solutions") # Check if the value of the discriminant is equal to zero using the elif # conditional statement. elif Disimint == 0: # If the statement is true, then print "The obtained discriminant has only one solution". print("The obtained discriminant has only one solution") # Check if the value of the discriminant is less than zero using the elif conditional # statement. elif Disimint < 0: # If the statement is true, then print "The obtained discriminant has No solutions". print("The obtained discriminant has No solutions")

**Output:Â **

The given Discrimant value = -32 The obtained discriminant has No solutions

### Method #2: Using Mathematical Formula (User Input)

**Approach:**

- Give the first number as user input using the int(input()) function and store it in a variable.
- Give the second number as user input using the int(input()) function and store it in another variable.
- Give the third number as user input using the int(input()) function and store it in another variable.
- Calculate the discriminant value for the given three points and store it in another variable.
- Print the obtained discriminant value.
- Check if the value of the discriminant is greater than zero using the if conditional statement.
- If the statement is true, then print “The obtained discriminant has two possible solutions”.
- Check if the value of the discriminant is equal to zero using the elif conditional statement.
- If the statement is true, then print “The obtained discriminant has only one solution”.
- Check if the value of the discriminant is less than zero using the elif conditional statement.
- If the statement is true, then print “The obtained discriminant has No solutions”.
- The Exit of the program.

**Below is the implementation:**

# Give the first number as user input using int(input()) function and store it in a variable. x = int(input("Enter some random number = ")) # Give the second number as user input using int(input()) function and store it in another variable. y = int(input("Enter some random number = ")) # Give the third number as user input using int(input()) function and store it in another variable. z = int(input("Enter some random number = ")) # Calculate the discriminant value for the given three points and # store it in another variable. Disimint = (y**2) - (4*x*z) # Print the obtained discriminant value. print("The given Discrimant value = ", Disimint) # Check if the value of the discriminant is greater than zero using the # if conditional statement. if Disimint > 0: # If the statement is true, then print "The given obtained has two possible solutions". print("The obtained discriminant has two possible solutions") # Check if the value of the discriminant is equal to zero using the elif # conditional statement. elif Disimint == 0: # If the statement is true, then print "The obtained discriminant has only one solution". print("The obtained discriminant has only one solution") # Check if the value of the discriminant is less than zero using the elif conditional # statement. elif Disimint < 0: # If the statement is true, then print "The obtained discriminant has No solutions". print("The obtained discriminant has No solutions")

**Output:Â **

Enter some random number = 5 Enter some random number = 20 Enter some random number = 7 The given Discrimant value = 260 The obtained discriminant has two possible solutions

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