Put the correct steps in to solve the equation: x3−10=−2

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1
Step 2
Step 3

Responces:
Take the cube root of both sides.
Divide both sides by 3.
Subtract 10 from both sides.
Add 10 to both sides.
Answer is one rational solution.
Answer is two irrational solutions.
There is no solution.

1 answer

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

Step 1: Add 10 to both sides.
Response: Add 10 to both sides.

Step 2: Take the cube root of both sides.
Response: Take the cube root of both sides.

Step 3: Answer is one rational solution.
Response: Answer is one rational solution.

So, the correct order is:
Step 1: Add 10 to both sides.
Step 2: Take the cube root of both sides.
Step 3: Answer is one rational solution.