Question

What is the solution of the equation over the complex numbers?

x2+20=0

Enter your answers, as exact values, in the boxes.

Answer 1

2x = -20
x = -20 / 2
x = -10
Espero poder ayudarte

Answer 2

The solutions of the equation over the complex numbers are
`x=2i√(5),-2i\sqrt 5`

Explanation:

Given : Equation
`x^2+20=0`

To find : What is the solution of the equation over the complex numbers?

Solution :

Equation
`x^2+20=0`

Solve the equation,

Subtract 20 both side,

`x^2=-20`

Taking square root both side,

`x=\pm√(-20)`

`x=\pm√(-2* 2* 5)`

`x=\pm 2i√(5)`

`x=2i√(5),-2i\sqrt 5`

Therefore, The solutions of the equation over the complex numbers are
`x=2i√(5),-2i\sqrt 5`