Question

solve: $x^2 - 49 = 0$ options: $(x + 7)(x - 7)$, $(x - 7)(x - 7)$, $x = 7$, $x = -7, x = 1$

Explanation:

Step1: Rewrite as difference of squares

$x^2 - 7^2 = 0$

Step2: Factor the expression

$(x+7)(x-7) = 0$

Step3: Solve for x values

$x+7=0 \implies x=-7$; $x-7=0 \implies x=7$

Answer:

A. $(x + 7)(x - 7)$
(Note: This is the fully factored form of the equation, and solving it gives $x=7$ and $x=-7$; the other options are incomplete or incorrect)