Chapter A.7, Problem 56AYU

To determine

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

Answer to Problem 56AYU

The solution of given equation in complex number systemis $\pm 5i$ .

Explanation of Solution

Given information:

The equationis $x^2+25=0$ .

Calculation:

Consider the equation.

  $\begin{array}{l}{x}^2+25=0\\ x^2=-25\\ x=\pm \sqrt{-25}\\ x=\pm \sqrt{25}\sqrt{-1}\\ x=\pm 5i\end{array}$