In C++. Write a program to read the coefficients a, b, and c of a quadratic equation and print its roots, the values of x such that ax² + bx + c = 0. The roots are given by: (-b ?b² - 4ac)/2a

The discriminant is b² - 4ac.

Make all of the variables of type double.

Create two functions, besides the main function. One function should return the positive root and the other the negative root of the quadratic formula.

Place the two function prototypes locally inside of the main( ) function, rather than globally.

Use local variables, rather than global variables

Put in a check to prevent division by zero.

Format your output to one decimal place.

Runs for the following input values:

Formulas a b c

1. x² - x - 6 1.0 -1.0 -6.0

2. x² - 15x 1.0 -15.0 0.0

3. x² - 16 1.0 0.0 -16.0

4. 6x + 3 0.0 6.0 3.0

5. 3x² + 3x - 6 3.0 3.0 -6.0

6. Optional special cases - if you include any of these in your program then you must submit a test run for each case showing that it works.

infinite solutions - a, b, and c are all 0

no solution - a and b are 0, but c is not 0 - (e.g.,, a, b, and c are 0, 0, 7)

one solution - the discriminant equals 0 - (e.g., 1, 2, 1)

complex solutions in the form a + bi - the discriminant is negative - (e.g., 1, -6, 13)

invalid character data

As before, part of your grade will be based on the proper use of:

1. meaningful variable names

2. indentation

3. blank lines and spacing

4. comments on the following:

- program description

- function descriptions

- all variable and constant declarations

- ambiguous or complex sections of code

5. the correct use of local variables, local function prototypes, and parameter passing

6. format and appearance of output

7. structured code (e.g., no goto, break (except in a switch), continue, etc. statements)