Question

Using inverse operations what is the solution to 2x^3 - 13 = 5? 2.08, 3, 9, 1.26

Answer 1

To solve the equation \(2x^3 - 13 = 5\) using inverse operations, follow these steps:

1. **Add 13 to both sides:**
\[
2x^3 - 13 + 13 = 5 + 13
\]
This simplifies to:
\[
2x^3 = 18
\]

2. **Divide both sides by 2:**
\[
\frac{2x^3}{2} = \frac{18}{2}
\]
This simplifies to:
\[
x^3 = 9
\]

3. **Take the cube root of both sides:**
\[
x = \sqrt[3]{9}
\]

Now let's calculate \( \sqrt[3]{9} \):

Calculating \( \sqrt[3]{9} \) approximately gives:
\[
\sqrt[3]{9} \approx 2.08
\]

So the solution to the equation \(2x^3 - 13 = 5\) is \(x \approx 2.08\).

Among the options provided, the answer is:

**2.08**