The real roots of the quadratic equation $a{x}^2+bx+c=0$ are given by the formula $($assuming that $($:$b^2-4ac0\}$ :

$x=\frac{-b+-\sqrt[\phantom{2}]{b^2-4ac}}{2a}$

There are no real roots for the case

Draw a flowchart that represents a solution to the following problem:

Prompt the user for the coefficent of $a,b,$ and $c.$ You may assume that the coefficient a the user enters is always nonzero, $a0.$

Print the real roots for the quadratic equation, if they exist; otherwise print the message $"$no real roots".

There is more than one way to solve this problem. In general, compact solutions that are easy to understand $($in other words, not so compact as to be cryptic$)$ are better than long$-$winded solutions. Spend some time thinking about designing not just a solution that works, but a solution that is compact and easy to understand.

Your flowchart doesn't need to use syntactically$-$correct C code, it just needs to be clear and unambiguous to the reader so that they could program the algorithm in C$.$ If you're unsure, be more precise.

Note: There is no $+-($plus$/$minus$)$ operator in $C$ so you must compute the two roots in separate calculations, assuming they exist.

To submit an answer to this question, draw your flowchart on your computer or paper. Then export$/$save it as a JPG file $($or snap a clear, high$-$resolution photo with your phone$)$ named "roots.jpg$"($exactly$)$ and upload your "roots.jpg$"$ file here. Finally, click on the Save button below.

It is your responsibility to ensure the file you submit is a true JPG file. Click the "Show preview" button after submitting, to confirm you can see the image. There are various tools you can use to produce a JPG file on your device, such as:

Your phone camera most likely stores photos as JPG files;

app.diagrams.net lets you draw a flowchart and save it as a JPG;

Punchi.me converts various image formats to JPG; and