Quadratic Equation Roots

Quadratic Equation Roots

Simple
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A quadratic equation is represented as ax2 + bx + c = 0. The general formula to find its roots (x-values for which y = 0) is:

example

This formula provides two roots: x1, x2. The value inside the square root, b2-4ac is known as the discriminant (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 x1, x2, 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 "No real roots".

Input: Three integers (int).

Output: Tuple or other Iterable of two numbers (int|float) 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;
  • -109 <= a, b, c <= 109.

Settings
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