Q68. - Algebra 2

Question

Solve each equation

 

$\sqrt[3]{x+5}+6=4$

Step-by-Step Solution

Answer

The solution of the equation is x=-13.

Step 1. Given Information.

Given to solve the equation $\sqrt[3]{x+5}+6=4$

Step 2. Explanation .

Solving the equation by isolating x:

 $\begin{array}{l}\sqrt[3]{x+5}+6=4\\ \sqrt[3]{x+5}=4-6\\ \sqrt[3]{x+5}=-2\\ {\left(\sqrt[3]{x+5}\right)}^3={\left(-2\right)}^3\\ x+5=-8\\ x=-8-5\\ x=-13\end{array}$

Step 3. Conclusion .

Therefore, the solution of the given equation is x=-13