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

Responses

irrational
irrational

real
real

rational
rational

imaginary

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.