Chapter 8: Q. 308 (page 824)

In the following exercises, solve.
$\sqrt[3]{9 x - 1} - 1 = - 5$

Short Answer

Expert verified

The solution of the given equation is $x = - 7$ .

Step by step solution

Step 1. Given information.

The given equation is:

$\sqrt[3]{9 x - 1} - 1 = - 5$

Step 2. Solve the equation.

The given equation can be written as:

$\begin{array}{rcl} \sqrt[3]{9 x - 1} & = & - 5 + 1 \\ \sqrt[3]{9 x - 1} & = & - 4 \end{array}$

Take cube on both sides.

$\begin{array}{rcl} (\sqrt[3]{9 x - 1})^{3} & = & (- 4)^{3} \\ 9 x - 1 & = & - 64 \\ 9 x & = & - 64 + 1 \\ 9 x & = & - 63 \end{array}$

Divide both sides by 9.

$\begin{array}{rcl} \frac{9 x}{9} & = & \frac{- 63}{9} \\ x & = & - 7 \end{array}$

Step 3. Conclusion.

The solution of the given equation is $x = - 7$ .

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In the following exercises, solve.
$\sqrt[3]{9 x - 1} - 1 = - 5$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the equation.

Step 3. Conclusion.

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In the following exercises, solve.9x-13-1=-5

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the equation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

In the following exercises, solve.
$\sqrt[3]{9 x - 1} - 1 = - 5$