Question

solve the equation by graphing the related function
$x^2 - 4 = 0$

select the correct choice below and, if necessary, fill in the answer box to complete your choice

a. the solution(s) is/are $x = \square$
(simplify your answer. use a comma to separate answers as needed.)

b. the equation has no solution

Explanation:

Step1: Define related function

The related function is $f(x)=x^2 - 4$.

Step2: Find x-intercepts (roots)

Set $f(x)=0$, so $x^2 - 4=0$.
Rewrite as $x^2=4$.
Take square roots: $x=\pm\sqrt{4}=\pm2$.

Step3: Match to graph

The correct graph has x-intercepts at $x=-2$ and $x=2$, matching the roots.

Answer:

A. The solution(s) is/are x = -2, 2