Respuesta :
Answer:
x = 19, 17
Step-by-step explanation:
(x-18)(x-18)=1
x^2 - 36x + 324=1
x^2 - 36x = -323
x^2 - 36x + 323 = 1
(x-19)(x-17) = 0
x = 19, 17
Answer: x = 17,19
Step-by-step explanation:
Method 1: Solve by Equations
The most common method, so...
[tex](x-18)^2=1[/tex]
[tex]x^2-2x(18)+18^2=1[/tex]
[tex]x^2-36x+324=1[/tex]
Move 1 to the left.
[tex]x^2-36x+324-1=0\\x^2-36x+323=0[/tex]
[tex](x-17)(x-19)=0\\x=17,19[/tex]
The value of x are 17 and 19.
Method 2: Solve by Graphing
I don't recommend this method since you might be bad at graphing (You must be perfect at graphing)
So given [tex](x-18)^2=1[/tex]
Move 1 to the left
[tex](x-18)^2-1=0[/tex]
Change 0 to y
[tex]y=(x-18)^2-1[/tex] The vertex is at (18,-1)
Draw the graph (Parabola)
When you finish drawing the graph, x-intercepts should be around 17 and 19
x-intercepts are the value of x so if x-intercepts are at (17,0) and (19,0) then the value of x are both 17 and 19