Chapter 1.5, Problem 54E

To determine

To calculate:

The solution of following equation by using the graphing utility:

  $-4\left|s+9\right|=-24$

Answer to Problem 54E

  $-4\left|s+9\right|=-24$ has solution $s=-3$

  

Explanation of Solution

Given information:

  $-4\left|s+9\right|=-24$

Calculation:

The given expression is:

  $-4\left|s+9\right|=-24$

Divide by $-4$ on both sides of equation:

  $\begin{array}{l}-4\left|s+9\right|=-24\\ \frac{-4}{-4}\left|s+9\right|=\frac{-24}{-4}\\ \left|s+9\right|=6\end{array}$

The absolute value of equation:

  $s+9=1$

Subtract $9$ on both sides of equation:

  $\begin{array}{l}s+9=6\\ s+9-9=6-9\\ s=-3\end{array}$