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If 4x^2 - 16 = 0, what is the value of x?

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Question: If 4x^2 - 16 = 0, what is the value of x?

Options:

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

Correct Answer: x = 2

Solution: 

Add 16 to both sides: 4x^2 = 16. Divide by 4: x^2 = 4. Thus, x = ±2.

If 4x^2 - 16 = 0, what is the value of x?

Practice Questions

Q1
If 4x^2 - 16 = 0, what is the value of x?
  1. x = 2
  2. x = -2
  3. x = 4
  4. x = -4

Questions & Step-by-Step Solutions

If 4x^2 - 16 = 0, what is the value of x?
Correct Answer: ±2
  • Step 1: Start with the equation 4x^2 - 16 = 0.
  • Step 2: Add 16 to both sides of the equation to isolate the term with x. This gives you 4x^2 = 16.
  • Step 3: Now, divide both sides of the equation by 4 to simplify. This results in x^2 = 4.
  • Step 4: To find the value of x, take the square root of both sides. This gives you x = ±2.
  • Quadratic Equations – The question tests the ability to solve a basic quadratic equation by isolating the variable.
  • Factoring and Square Roots – The solution involves recognizing perfect squares and applying the square root principle.
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