Put the correct steps in to solve the equation: x^3−10=−2

Answer 1

To solve the equation \( x^3 - 10 = -2 \), we can follow these steps:

1. Add 10 to both sides of the equation to isolate the term with \( x \): \[ x^3 - 10 + 10 = -2 + 10 \] Which simplifies to: \[ x^3 = 8 \]

2. Take the cube root of both sides to solve for \( x \): \[ x = \sqrt[3]{8} \]

3. Simplify the cube root: \[ x = 2 \]

Thus, the solution to the equation \( x^3 - 10 = -2 \) is \( x = 2 \).