Question

Put the correct steps in to solve the equation: x^3−10=−2 (3 points)
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Step 1
Step 2
Step 3
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Answers:
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 \( x^3 - 10 = -2 \), 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