Question

Factor the expression over the complex numbers. x2+20

Answer 1

X²+20=0
x=±√(-80)/2
x=±4i√5/2=2i√5

factorised it is then
(x+2i√5)*(x-2i√5)

Answer 2

Answer:

$x^2+20=(x-2\sqrt{5}i)(x+2\sqrt{5}i)$  

Step-by-step explanation:

Given : Expression $x^2+20$

To find : Factor the expression over the complex numbers ?

Solution :

To factor we equate the expression to zero.

$x^2+20=0$

Subtract 20 both side,

$x^2+20-20=-20$

$x^2=-20$

Taking root both side,

$x=\sqrt{-20}$

$x=\pm 2\sqrt{5}i$

The factor of the expression is $x^2+20=(x-2\sqrt{5}i)(x+2\sqrt{5}i)$