Chapter 10, Problem 213RE

In the following exercises, solve using the Square Root Property.

213. $x^2=100$

To determine

To solve the given equation.

Answer to Problem 213RE

$x=\pm 10$.

Explanation of Solution

Given information:

An expression is given as $x^2=100$.

Calculation:

We have been given an equation as $x^2=100$.

We will use below square root property to solve the given equation.

If $x^2=k\text{ and }k\ge 0,\text{ then }x=\pm \sqrt{k}$

Now,

$\begin{array}{l}{x}^2=100\\ \text{Taking square root on both side,}\\ \Rightarrow x=\pm \sqrt{100}\\ \Rightarrow x=\pm 10\end{array}$

Hence, solution for the given equation will be $x=\pm 10$.