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What is the solution to the equation 2x^2 - 8 = 0?

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Question: What is the solution to the equation 2x^2 - 8 = 0?

Options:

  1. x = 2, -2
  2. x = 4, -4
  3. x = 0, 4
  4. x = 4, 0

Correct Answer: x = 4, -4

Solution: 

First, add 8 to both sides: 2x^2 = 8. Then divide by 2: x^2 = 4. Taking the square root gives x = ±4.

What is the solution to the equation 2x^2 - 8 = 0?

Practice Questions

Q1
What is the solution to the equation 2x^2 - 8 = 0?
  1. x = 2, -2
  2. x = 4, -4
  3. x = 0, 4
  4. x = 4, 0

Questions & Step-by-Step Solutions

What is the solution to the equation 2x^2 - 8 = 0?
  • Step 1: Start with the equation 2x^2 - 8 = 0.
  • Step 2: Add 8 to both sides of the equation to get 2x^2 = 8.
  • Step 3: Divide both sides by 2 to simplify the equation to x^2 = 4.
  • Step 4: Take the square root of both sides. This gives you x = 2 and x = -2.
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