Question

select the two values of x that are roots of the given polynomial below x^2+3x+5

Answer 1

This polynomial has no real roots, since its discriminant < 0. This can be calculated as b^2-4ac = 9-4*5 = -11.


If you allow complex roots, they are:

$x = - \frac12 i (\sqrt{11} - 3i)$

and

$x = \frac12 i (\sqrt{11} + 3i)$