Question

The roots of the quadratic equation \( x^2 - 16 = 0 \) are:

• A. \( 4 \), \( -4 \)
• B. \( 8 \), \( -8 \)
• C. \( 16 \), \( -16 \)
• D. \( 2 \), \( -2 \)

Hint:

For quadratic equations in the form \( x^2 - a^2 = 0 \), factor as \( (x - a)(x + a) = 0 \).

Answer 1

The Correct Option is A

Step 1: Write the equation.
The given equation is: \[ x^2 - 16 = 0. \] Step 2: Factor the quadratic equation.
We can factor the equation as: \[ x^2 - 16 = (x - 4)(x + 4) = 0. \] Step 3: Find the roots.
From the factored form, the roots are: \[ x = 4 \quad \text{or} \quad x = -4. \]