Question

Solve x2 + 6x + 11
(quadratic equation)

Answer 1

`x = ( - 6 \pm 2 √(2)i)/(2) \\ = - 3 \pm √(2) i`

Explanation:

use the quadratic formula to solve this.

find the discriminant first

D=6^2-4(11)=-8 so we have complex roots

sqrt(D)=2sqrt(2)i

then, by quadratic formula:

x=(-6+-2sqrt(2)i)/2.

and simplifying this to

x= -3+-sqrt(2)i