Task $1$: $(17$ points$)$

Write a MATLAB script that completes the following task. Include comments explaining your code.

A quadratic equation can be written in standard form as $a{x}^2+bx+c=0.$

A well$-$known solution for quadratic equation roots is given by the quadratic formula: $x=\frac{-b+-\sqrt[\phantom{2}]{b^2-4ac}}{2a}$

A lesser$-$known formula for finding the roots is given by Muller's method: $x=\frac{2c}{-b+-\sqrt[\phantom{2}]{b^2-4ac}}.$

Ask the user to input coefficients $a,b,$ and $c$ for the standard form of the equation. If the discriminant $(b^2\}$

$4ac)$ is negative, ask the user to enter to enter new values for $a,b,$ and $c$ and repeat the input process

until the discriminant is positive.

Ask the user whether they would like to solve for the roots using the quadratic formula or Muller's method.

Solve for the two roots of the quadratic equation using the method selected by the user and display the

roots in a complete sentence along with the selected method.