# Roots of a quadratic function

_Works with previous versions also but will return slightly less precise results._

Raku has complex number handling built in.

```perl
for
[1, 2, 1],
[1, 2, 3],
[1, -2, 1],
[1, 0, -4],
[1, -10⁶, 1]
-> @coefficients {
    printf "Roots for %d, %d, %d\t=> (%s, %s)\n",
    |@coefficients, |quadroots(@coefficients);
}

sub quadroots (*[$a, $b, $c]) {
    ( -$b + $_ ) / (2 × $a),
    ( -$b - $_ ) / (2 × $a) 
    given
    ($b² - 4 × $a × $c ).Complex.sqrt.narrow
}
```

#### Output:

```
Roots for 1, 2, 1       => (-1, -1)
Roots for 1, 2, 3       => (-1+1.4142135623730951i, -1-1.4142135623730951i)
Roots for 1, -2, 1      => (1, 1)
Roots for 1, 0, -4      => (2, -2)
Roots for 1, -1000000, 1        => (999999.999999, 1.00000761449337e-06)
```
