In this **python tutorial**, you will learn **how to Find Roots of Quadratic Equation** using input function and the cmath function of the python programming language.

The polynomial equation whose highest degree is two is called a quadratic equation. Quadratic equation is made from a Latin term “quadrates” which means square. The equation is given by **ax² + bx + c = 0**, where a ≠ 0.

Here, “x” is unknown which we have to find and “a”, “b”, “c” specifies numbers or integers such that “a” is not equal to 0. If a = 0 then the equation is not quadratic and becomes liner. The variables a, b and c are called coefficients.

## How to Check if Find Roots of Quadratic Equation?

Let’s take a look at the source code , here the values are given as input by the user in the code, input function and the cmath function carry out the function.

RUN CODE SNIPPET# import complex math module import cmath a = float(input('Enter the value of a: ')) b = float(input('\nEnter the value of b: ')) c = float(input('\nEnter the value of c: ')) # 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('\nThe solution are {0} and {1}'.format(sol1,sol2))

**INPUT:**

10 6 8

**OUTPUT:**

Enter a: Enter b: Enter c: The solution are (-0.3-0.8426149773176359j) and (-0.3+0.8426149773176359j)

- At the start, we use the
`import`

function with`cmath`

which allows to access certain system-specific parameters and functions. - We give the user the option to enter the values and the input values are scanned using the
`input`

function and are stored in two variables namely`a`

,`b`

and`c`

with the statements/strings`Enter the value of a:`

,`Enter the value of b:`

and`Enter the value of c:`

with`\n`

respectively. - In the
**STDIN**section of the code editor the input values are entered. - Now we declare the formula to find the discriminant of the quadratic equation, that is
`d = (b**2) - (4*a*c)`

and the value returned is stored in the variable`d`

. Now we move forward to find the two solutions of the quadratic equation. - Declare the formula to find the roots of Quadratic Equation which is
`sol1 = (-b-cmath.sqrt(d))/(2*a)`

, where the function`cmath`

to perform complex square root. The returned value is stored in the variable`sol1`

. - Similarly, we declare the formula to find the roots of Quadratic Equation which is
`sol1 = (-b+cmath.sqrt(d))/(2*a)`

, where the function`cmath`

to perform complex square root. The returned value is stored in the variable`sol2`

. - Now, we display the output value using the
`print`

and display the statement/string`print('\nThe solution are {0} and {1}'.format(sol1,sol2))`

with the`\n`

respectively. - In the above statement/string, the variables
`{0}`

and`{2}`

will hold the values of the variables`sol1`

and`sol2`

where the`format`

function helps in variable substitution and data formatting.

**NOTE:**

- The
**cmath**module provides access to mathematical functions for complex numbers. The functions in this module accept integers, floating-point numbers or complex numbers as arguments. - Using the
**cmath.sqrt()**method, we have calculated two solutions and printed the result. - The
**input()**function allows a user to insert a value into a program, it returns a string value. - The variables used by the format function for substitution is enclosed in curly braces.
- The
**print**statement is followed by a period, to initiate the format function. - The statement for the input function are enclosed in single quotes and parenthesis.
- The
**\n**in the code indicates a new line or the end of a statement line or a string.

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