Chapter 12.3, Problem 19E

To determine

To Solve: Theequation $x^2=-100$

Answer to Problem 19E

The required answer is: $x=10i$ .

Explanation of Solution

Given information:

The given equation $x^2=-100$

Calculation:

  $\begin{array}{l}{x}^2=-100\\ x=\sqrt{-100}\\ x=\sqrt{-1\cdot {10}^2}\end{array}$

(Product property of square roots)

  $x=10i$

(Simplify)

(The square root of -1 is an imaginary number represented by i)