Chapter SH, Problem 10.2.22EP

To determine

The equation.

  $10000=x^2$

Answer to Problem 10.2.22EP

The solutions of the equation $10000=x^2$ is $-100\text{or}100$

Explanation of Solution

Given:

  $10000=x^2$

Concept Used:

By the definition of square root,

if $x^2=y$ then $x=\pm \sqrt{y}$

From the definition of square root,

  $\begin{array}{l}10000=x^2\\ \pm \sqrt{10000}=x\\ \pm 100=x\end{array}$

Conclusion:

Hence, the result is $-100\text{or}100$ .