Chapter 8, Problem 1RP

To determine

To calculate: The solution for the equation, $6x^2=24$.

Answer to Problem 1RP

Solution:

The roots are $\underset{\_}{\pm 2}$.

Explanation of Solution

Given:

The equation, $6x^2=24$.

Formula used:

If $x^2=a$, then $x=\pm \sqrt{a}$ for all real numbers $a$.

Calculation:

The provided equation:

$\begin{array}{ccc}\hfill 6x^2& =& 24\hfill \\ \hfill x^2& =& \frac{24}{6}\hfill \\ \hfill x^2& =& 4\hfill \\ \hfill x& =& \pm \sqrt{4}\hfill \\ \hfill x& =& \pm 2\hfill \end{array}$

Thus, the roots are $\pm 2$.