To solve the equation \( x^3 - 10 = -2 \), follow these steps:
Step 1: Add 10 to both sides
This simplifies the equation to \( x^3 = 8 \).
Step 2: Take the cube root of both sides
This gives you \( x = \sqrt[3]{8} \).
Step 3: The answer is one rational solution
Since \( \sqrt[3]{8} = 2 \), the solution is \( x = 2 \).
So your answer will look like this:
- Step 1: Add 10 to both sides
- Step 2: Take the cube root of both sides
- Step 3: Answer is one rational solution