Answer: x=3 or x=5
Step-by-step explanation:
0 = 0=(x-4)²-1
(x -4)^2-1=0
Factor the expression using
a^2-b^2= ( a + b ) ( a - b )
Apply zero Product Property
( (x -4 ) + 1 ) ( (x - 4 ) - 1 ) = 0
( x - 4 ) + 1 = 0
Determine the sign
x - 3 = 0
Rearrange variables to the left side of the equation
x = 3
( x - 4 ) + 1 = 0
Determine the sign
x - 5 - 1 = 0
Combine like terms
x - 5 = 0
Rearrange variables to the left side of the equation
x = 5
