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What is the solution to the equation 4x^2 - 16 = 0?

Practice Questions

Q1
What is the solution to the equation 4x^2 - 16 = 0?
  1. -2
  2. 0
  3. 2
  4. 4

Questions & Step-by-Step Solutions

What is the solution to the equation 4x^2 - 16 = 0?
  • Step 1: Start with the equation 4x^2 - 16 = 0.
  • Step 2: Factor out the common number 4 from the equation: 4(x^2 - 4) = 0.
  • Step 3: Now, we have a new equation: x^2 - 4 = 0.
  • Step 4: Recognize that x^2 - 4 is a difference of squares, which can be factored as (x - 2)(x + 2) = 0.
  • Step 5: Set each factor equal to zero: x - 2 = 0 and x + 2 = 0.
  • Step 6: Solve for x in each case: From x - 2 = 0, we get x = 2. From x + 2 = 0, we get x = -2.
  • Step 7: The solutions to the equation are x = 2 and x = -2.
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