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Solve the equation 2x^2 - 8 = 0.

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Question: Solve the equation 2x^2 - 8 = 0.

Options:

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

Correct Answer: x = 4

Solution: 

First, add 8 to both sides: 2x^2 = 8. Then divide by 2: x^2 = 4. Finally, take the square root: x = ±2, so the solutions are x = 2 and x = -2.

Solve the equation 2x^2 - 8 = 0.

Practice Questions

Q1
Solve the equation 2x^2 - 8 = 0.
  1. x = 2
  2. x = -2
  3. x = 4
  4. x = -4

Questions & Step-by-Step Solutions

Solve 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. Remember that the square root can be positive or negative, so you get x = ±2.
  • Step 5: Write down the solutions: x = 2 and x = -2.
  • Quadratic Equations – The question tests the ability to solve a basic quadratic equation using algebraic manipulation.
  • Square Roots – The question requires understanding how to take square roots of both positive and negative values.
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