Question

CODE MUST BE IN C++

Objective

Create a program that provides the solution to a quadratic equation.

Background:

A quadratic equation can be generalized by equation below:

f ( x )=ax2+ bx +c

Closed form solutions can be found for the zeros of a quadratic function conveniently. That is the locations

where the function is equal to zero can be found by the following equation:

x=− b± √ b −4ac

2a

Note that depending on the sign of the expression under the square root, your system (problem) may have complex solutions. Therefore your program should be able to produce real number, or complex number solutions.

Your program:

Should prompt the user to choose between quitting, or solving another problem. ASCII character “q” should denote quitting of the session, and “s” should denote solving another problem

If “q” is depressed, the program to terminate execution

If “s” is depressed, the program should proceed to obtain the three values a, b, and c that are needed to define a quadratic equation. You can assume that the user will follow instructions and enter a legal number for the three values (you do not need to worry about exception handling). After this step, your program should produce the two correct solutions.

If your program receives any other input, it should display the choices until one of “q” or “s” is produced

Since it is possible to have complex numbers as your solutions, your program should be prepared to

calculate and display the complex numbers

Your program should have the following functions:

getCoefficients: this function will prompt the user to enter a, b, and c and store them to pass to the solve function

solveQuadratic: this function will take in the values of a, b, and c, solve the equation and store the solution for the print function

printSolutions: this function will print the solution in the form of “real +/- imaginary”

Program requirements:

Your program should be properly commented meaning that it should contain a comment block at the top (with file name, your name, function etc…) as well as comments before each function describing the inputs/output and what the function is doing

Your program should require no math or additional libraries and should only declare the available primitive types

Your program should NOT use global variables.