$1.$ Sketch a flowchart and write a MATLAB function to solve Exercise $4\mathrm{.}6$ of your MATLAB textbook. $[$Hint: see MATLAB Control Structures Part II lecture$].$ Add a copy$/$picture of your flowchart here.

Exercise $4\mathrm{.}6$

A function takes three numeric arguments representing the coefficients of a quadratic equation and returns two values, which are the two roots of the equation. The name of the function is quadRoots.

$1.$ Write a suitable prototype or definition for the function. Add an appropriate help and usage section at the top of the function, and save it in a suitably named file.

$2.$ Add a test to check if the quadratic roots are complex and to return

with an error if this is true $($see Section $4\mathrm{.}3,$ doc error or$$ help error$).$

$3.$ Complete the function quadRoots and test that it gives the correct results.

$4.$ Modify the quadRoots function so that it accepts a single array containing all three coefficients and returns a single array containing the roots.