Question

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

Answer 1

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

1. **Add 13 to both sides** to isolate the term with \( x \):
\[
2x^3 - 13 + 13 = 5 + 13
\]
\[
2x^3 = 18
\]

2. **Divide both sides by 2** to solve for \( x^3 \):
\[
\frac{2x^3}{2} = \frac{18}{2}
\]
\[
x^3 = 9
\]

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

Therefore, the solution to the equation \( 2x^3 - 13 = 5 \) is:
\[
x = \sqrt[3]{9}
\]

If you want a decimal approximation, \( \sqrt[3]{9} \) is approximately \( 2.08 \).