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:

$\backslash$pm $$

$=$

$$

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!

$2.$ 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

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.