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Solve for x: 2x^2 - 8 = 0.

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Question: Solve for x: 2x^2 - 8 = 0.

Options:

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

Correct Answer: -2 and 2

Solution: 

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

Solve for x: 2x^2 - 8 = 0.

Practice Questions

Q1
Solve for x: 2x^2 - 8 = 0.
  1. -2 and 2
  2. 2 and -2
  3. 4 and -4
  4. 0 and 4

Questions & Step-by-Step Solutions

Solve for x: 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.
  • Quadratic Equations – The question tests the ability to solve a basic quadratic equation by factoring or using the square root method.
  • Algebraic Manipulation – The question assesses skills in rearranging equations and performing operations such as addition and division.
  • Square Roots – The question evaluates understanding of taking square roots and recognizing both positive and negative solutions.
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