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Solve for x: 3x^2 - 12 = 0.

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Question: Solve for x: 3x^2 - 12 = 0.

Options:

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

Correct Answer: x = 2

Solution: 

Add 12 to both sides: 3x^2 = 12. Divide by 3: x^2 = 4. Thus, x = ±2.

Solve for x: 3x^2 - 12 = 0.

Practice Questions

Q1
Solve for x: 3x^2 - 12 = 0.
  1. x = 2
  2. x = -2
  3. x = 4
  4. x = -4

Questions & Step-by-Step Solutions

Solve for x: 3x^2 - 12 = 0.
Correct Answer: x = ±2
  • Step 1: Start with the equation 3x^2 - 12 = 0.
  • Step 2: Add 12 to both sides of the equation to get 3x^2 = 12.
  • Step 3: Divide both sides by 3 to simplify the equation to x^2 = 4.
  • Step 4: Take the square root of both sides to find x. This gives you x = ±2.
  • Quadratic Equations – The question tests the ability to solve a basic quadratic equation in the form ax^2 + b = 0.
  • Factoring and Square Roots – The solution involves factoring and taking square roots to find the values of x.
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