# Quadratic Equation Roots

A quadratic equation is represented as `ax`

. The general formula to find its roots (x-values for which y = 0) is:
^{2} + bx + c = 0

This formula provides two roots: `x`

. The value inside the square root, _{1}, x_{2}`b`

is known as the discriminant (^{2}-4ac`D`

). Based on the value of the discriminant, a quadratic equation can have:

- two distinct real roots (
`D > 0`

); - one real root (
`D = 0`

); - no real roots (
`D < 0`

).

Your code must return Iterable containing two values: the roots `x`

, sorted descending. If there's only one real root, both values will be the same. If there are no real roots, the Iterable should contain the string _{1}, x_{2}`"No real roots"`

.

**Input:** Three integers (int).

**Output:** Tuple or other Iterable of two integers (int) or string (str).

**Examples:**

assert list(quadratic_roots(1, -3, 2)) == [2, 1] assert list(quadratic_roots(1, 0, -1)) == [1, -1] assert list(quadratic_roots(1, 2, 1)) == [-1, -1] assert list(quadratic_roots(1, 0, 1)) == ["No real roots"]

**How it’s used:**
*this function can be useful in mathematical computations, physics simulations, optimization problems, or anywhere quadratic equations are utilized.*

**Preconditions:**

*a != 0*;*-10*.^{9}<= a, b, c <= 10^{9}

CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.

In order to install CheckiO client you'll need installed Python (version at least 3.8)

Install CheckiO Client first:

pip3 install checkio_client

Configure your tool

checkio --domain=py config --key=

Sync solutions into your local folder

checkio sync

(in beta testing) Launch local server so your browser can use it and sync solution between local file end extension on the fly. (doesn't work for safari)

checkio serv -d

Alternatevly, you can install Chrome extension or FF addon

checkio install-plugin

checkio install-plugin --ff

checkio install-plugin --chromium

Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.