learnpython24-(Python Program to Solve Quadratic Equation)

By

 

Python Program to Solve Quadratic Equation

This program computes roots of a quadratic equation when coefficients a, b and c are known.

To understand this example, you should have the knowledge of the following Python programming topics:

Python Input, Output and Import

Python Data Types

Python Operators

The standard form of a quadratic equation is:

ax2 + bx + c = 0, where
a, b and c are real numbers and
a ≠ 0

Source Code

# Solve the quadratic equation ax**2 + bx + c = 0

# import complex math module
import cmath

a = 1
b = 5
c = 6

# calculate the discriminant
d = (b**2) - (4*a*c)

# find two solutions
sol1 = (-b-cmath.sqrt(d))/(2*a)
sol2 = (-b+cmath.sqrt(d))/(2*a)

print('The solution are {0} and {1}'.format(sol1,sol2))

Output

Enter a: 1
Enter b: 5
Enter c: 6
The solutions are (-3+0j) and (-2+0j)

We have imported the cmath module to perform complex square root. First, we calculate the discriminant and then find the two solutions of the quadratic equation.

You can change the value of a, b and c in the above program and test this program.

Comments

Post a Comment

Popular posts from this blog

learnpython24-(Python Variables, Constants and Literals)

By
  Python Variables, Constants and Literals In this tutorial, you will learn about Python variables, constants, literals and their use cases. Python Variables A variable is a named location used to store data in the memory. It is helpful to think of variables as a container that holds data that can be changed later in the program. For example, number = 10 Here, we have created a variable named  number . We have assigned the value  10  to the variable. You can think of variables as a bag to store books in it and that book can be replaced at any time. number = 10 number = 1.1 Initially, the value of  number  was  10 . Later, it was changed to  1.1 . Note : In Python, we don't actually assign values to the variables. Instead, Python gives the reference of the object(value) to the variable. Assigning values to Variables in Python As you can see from the above example, you can use the assignment operator  =  to assign a value to a variable...
Read more

learnpython24-(Python Program to Print all Prime Numbers in an Interval)

By
  Python Program to Print all Prime Numbers in an Interval In this program, you'll learn to print all prime numbers within an interval using for loops and display it. To understand this example, you should have the knowledge of the following    Python programming topics: Python if...else Statement Python for Loop Python break and continue A positive integer greater than 1 which has no other factors except 1 and the number itself is called a prime number. 2, 3, 5, 7 etc. are prime numbers as they do not have any other factors. But 6 is not prime (it is composite) since,  2 x 3 = 6 . Source Code # Python program to display all the prime numbers within an interval lower = 900 upper = 1000 print ( "Prime numbers between" , lower, "and" , upper, "are:" ) for num in range(lower, upper + 1 ): # all prime numbers are greater than 1 if num > 1 : for i in range( 2 , num): if (num % i) == 0 : break el...
Read more

learnpython24-(Python Program to Find Factorial of Number Using Recursion)

By
  Python Program to Find Factorial of Number Using Recursion In this program, you'll learn to find the factorial of a number using recursive function. To understand this example, you should have the knowledge of the following  Python programming  topics: Python if...else Statement Python Functions Python Recursion The factorial of a number is the product of all the integers from 1 to that number. For example, the factorial of 6 is  1*2*3*4*5*6 = 720 . Factorial is not defined for negative numbers and the factorial of zero is one, 0! = 1. Source Code # Factorial of a number using recursion def recur_factorial (n) : if n == 1 : return n else : return n*recur_factorial(n -1 ) num = 7 # check if the number is negative if num < 0 : print ( "Sorry, factorial does not exist for negative numbers" ) elif num == 0 : print ( "The factorial of 0 is 1" ) else : print ( "The factorial of" , num, "is" , recur_fac...
Read more