Chapter A.7, Problem 5AYU

To determine

To find: The suitable parameter for the blank.

Answer to Problem 5AYU

The suitable parameter for the blank is $\left(-2i,2i\right)$ .

Explanation of Solution

Given information:

The given equation is $x^2=-4$ .

Calculation:

Consider the equation $x^2=-4$ .

Solve the equation.

$\begin{array}{l}{x}^2=-4\\ x=\pm \sqrt{-4}\\ x=\pm 2i\end{array}$

Therefore, the parameter to be filled is $\left(-2i,2i\right)$ .