Answer:
The solutions of the equation over the complex numbers are [tex]x=2i\sqrt{5},-2i\sqrt 5[/tex]
Step-by-step explanation:
Given : Equation [tex]x^2+20=0[/tex]
To find : What is the solution of the equation over the complex numbers?
Solution :
Equation [tex]x^2+20=0[/tex]
Solve the equation,
Subtract 20 both side,
[tex]x^2=-20[/tex]
Taking square root both side,
[tex]x=\pm\sqrt{-20}[/tex]
[tex]x=\pm\sqrt{-2\times 2\times 5}[/tex]
[tex]x=\pm 2i\sqrt{5}[/tex]
[tex]x=2i\sqrt{5},-2i\sqrt 5[/tex]
Therefore, The solutions of the equation over the complex numbers are [tex]x=2i\sqrt{5},-2i\sqrt 5[/tex]
