Question

Justify if completing the square is a good method for solving when the Discriminant is negative.

Answer 1

why not? it is as good a method as any

Answer 2

is this a joke?

Answer 3

@satellite73

Answer 4

no it is not a joke

Answer 5

if i saw
\[x^2+4x+10=0\] and didn't mind complex solutions i would write
\[x^2+4x=-10\\
(x+2)^2=-10+4=-6\] and get
\[x+2=\pm\sqrt{6}i\] right away