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

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

Options:

Correct Answer: 2

Solution:

Step 1: Factor the equation: 4(x^2 - 4) = 0. Step 2: Set x^2 - 4 = 0: (x - 2)(x + 2) = 0. Step 3: Solutions are x = 2 or x = -2.

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

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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