Q. 306 - Intermediate Algebra

Question

In the following exercises, solve.
$\sqrt[3]{11x+4}=5$

Step-by-Step Solution

Answer

The solution of the given equation is $x=11$.

Step 1. Given information.

The given equation is:

$\sqrt[3]{11x+4}=5$

Step 2. Solve the equation.

Take cube on both sides.

$\begin{array}{rcl}(\sqrt[3]{11x+4}{)}^3& =& (5{)}^3\\ 11x+4& =& 125\\ 11x& =& 125-4\\ 11x& =& 121\end{array}$

Divide both sides by 11.

$\begin{array}{rcl}\frac{11x}{11}& =& \frac{121}{11}\\ x& =& 11\end{array}$

Step 3. Conclusion.

The solution of the given equation is $x=11$.