Answer
Sample answer:
The formula $x=\displaystyle \frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$
involves some calculations, and errors can be made.
Benefits:
1. Checking whether the radicand (the discriminant,) $b^{2}-4ac$ is negative,
you do not have to continue. You know there will be no real solutions.
2. If it is zero or positive, you have done half the work needed to implement the formula,
so the rest of the work is somewhat easier.
Work Step by Step
Explanation is in the answer.
