6 Functions [10 marks]

Create a function that computes the two roots of a quadratic equation using the quadratic formula. Recall that the quadratic formula gives the two roots of the quadratic equation \(ax^2 + bx + c = 0\) as:

\[\begin{eqnarray*} x_1 & = & \frac{-b + \sqrt{b^2 - 4ac}}{2a} \\ x_2 & = & \frac{-b - \sqrt{b^2 - 4ac}}{2a} \end{eqnarray*}\]

Your function should satisfy the following constraints:

1. it should be named roots2
2. it should return two values x1 and x2 (the two roots given by the quadratic formula)
3. it should have one input vector coeff

The input vector coeff should contain the three coefficients of the quadratic equation. The first element of coeff is equal to a, the second element of coeff is equal to b, and the third element of coeff is equal to c.

6.1 Example usage

The following example finds the roots of the quadratic equation \(-x^2 + 3x + 10\):

co = [-1 3 10];
[x1, x2] = roots2(co)