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If 2x^2 - 8 = 0, what is the value of x?

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Question: If 2x^2 - 8 = 0, what is the value of x?

Options:

  1. -2
  2. 0
  3. 2
  4. 4

Correct Answer: 2

Solution: 

Add 8 to both sides: 2x^2 = 8. Divide by 2: x^2 = 4. Taking the square root gives x = ±2.

If 2x^2 - 8 = 0, what is the value of x?

Practice Questions

Q1
If 2x^2 - 8 = 0, what is the value of x?
  1. -2
  2. 0
  3. 2
  4. 4

Questions & Step-by-Step Solutions

If 2x^2 - 8 = 0, what is the value of x?
  • 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 of the equation by 2 to simplify it, resulting in x^2 = 4.
  • Step 4: Take the square root of both sides to find x. The square root of 4 is ±2.
  • Step 5: Therefore, the values of x are 2 and -2.
  • Quadratic Equations – The question tests the ability to solve a simple quadratic equation by isolating the variable.
  • Square Roots – It assesses understanding of taking square roots and recognizing both positive and negative solutions.
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