Question

What are the types of solutions for x in the equation x2+4=0 ?(1 point)
Responses

irrational
irrational

real
real

rational
rational

imaginary

Answer 1

To solve the equation \( x^2 + 4 = 0 \), we can rearrange it as follows:

\[
x^2 = -4
\]

Taking the square root of both sides gives:

\[
x = \pm \sqrt{-4}
\]

This simplifies to:

\[
x = \pm 2i
\]

where \( i \) is the imaginary unit.

Since the solutions involve the imaginary unit \( i \), the types of solutions for \( x \) in the equation \( x^2 + 4 = 0 \) are:

**imaginary**.