Chapter A.7, Problem 53AYU

To determine

To find:The solution of given equation in complex number system.

Answer to Problem 53AYU

The solution of given equation in complex number systemis $\pm 2i$ .

Explanation of Solution

Given information:

The equationis $x^2+4=0$ .

Calculation:

Consider the equation.

  $\begin{array}{l}{x}^2+4=0\\ x^2=-4\\ x=\pm \sqrt{-4}\\ x=\pm \sqrt{4}\sqrt{-1}\\ x=\pm 2i\end{array}$