Question

solve the equation by graphing the related function
$x^2 - 36x + 324 = 0$

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

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

b. the equation has no solution

Explanation:

Step1: Factor the quadratic

$x^2 - 36x + 324 = (x-18)^2$

Step2: Set factor equal to 0

$(x-18)^2 = 0$

Step3: Solve for x

$x - 18 = 0 \implies x=18$

Answer:

A. The solution(s) is/are x = 18