Project Outcomes $-$ Develop a C$++$ program that:

$$ Displays messages to the monitor and reads data from the keyboard using cout and cin

operators.

$$ Creates and uses different types of variables

$$ Performs assignment operations

$$ Perform basic arithmetic functions

$$ Uses library math functions.

$$ Uses a simple if$/$else statement

Program Description:

Recall that the quadratic formula, which is used to determine the roots of the general quadratic

equation, is this: x$=-$b$\backslash$pm $$b$^24$ac$/2$a

Write a C$++$ program that will display to the user the number of real roots of the equation for

different user$-$provided values of a$,$ b$,$ and c$,$ and then computes and displays the real roots $($if

there are no real roots, the program should say so$).$

$1.$ Prompt the user for three values: a$,$ b$,$ and c$.$ The format of the prompt is as follows:

Please enter an integer value for a:

$->$

Please enter an integer value for b:

$->$

Please enter an integer value for c:

$->$

Remember that the user will press after inputting their values, which will drop

the cursor to the next line! Compute the value of the discriminant and use the result to determine how many roots exist

and display that information to the user.

NOTE: the discriminant of the quadratic equation is the value of the arithmetic expression

under the radical

b$^2-4$ac

Also, the value of the discriminant determines the number of real roots as follows:

$$ Discriminant is positive $$ Two real roots

$$ Discriminant is zero $$ One real root

$$ Discriminant is negative $$ No real roots

You must use the arithmetic operator for multiplication and the assignment operator to store

the computed value into a variable. Once you have computed this value, display the number

of roots you will compute to the user.

$3.$ Compute and display the real roots of the equation. If no real roots exist, display a message

that says so$.$

An important note: You may be wondering: How are we going to compute a square root? We

will have to get ahead of ourselves a little and use what is called a $$function$$ from the

library. We will learn about functions in chapter $3,$ but for now, know that we can use the sqrt$()$

function from the math library to compute the square root for us$!$

At the top of your program, include the math library:

#include

Later in your program you can do this:

double discriminant $=...(1)$

double root $=$ sqrt$($discriminant$)$; $(2)$

If discriminant were assigned $25$ when its value was computed at $(1),$ then root will have the

value $5$ after $(2)$ executes!

Specifications:

$1.$ The program must display clear, explicit prompts for the user.

$2.$ The program must display clear, understandable statements for all output.