Write a file named `quadratic.py` with a function named `big_root` which, if given (a, b, c), returns the more positive root of the quadratic equation

a x2 + b x + c = 0

Use the quadratic formula to solve this problem.

Also write a second function, `small_root`, which gives the other root of the equation.

You may assume we only give coefficients for which the answer is a real number.

Neither function should `print` anything nor ask for any `input`. You should not have any code outside of these two functions.

# 2 Example Invocations

When you run `quadratic.py`, nothing should happen. It defines a function, it does not run it.

If in another file (which you do not submit) you write the following:

``````import quadratic

you should get the following output:

``````1.618033988749895
-0.6180339887498949``````

# 3 Thought Question

We won’t grade this, but what does your code do when you try to solve an equation with no real solutions?

``print(quadratic.big_root(1, 1, 1))``

If you want, feel free to also add the cubic formula or even (if you feel really ambitious) the quartic formula, but there isn’t a quintic formula.

# 4 Troubleshooting

Recall that .

Don’t remember the operators you need? See §3.3.1. Also, remember that in Python `^` is not the exponentiation operator (we won’t cover what `^` is; if you are curious, see §19.2.5).

Did you get the order of operations right? You could look them up, but adding parentheses never hurts.

There are two roots (because of the ± in the quadratic formula), but one of them is always the biggest… no need for an `if`

Have you tried other coefficients besides `(1, -1, -1)`?