Answer:
x = - 4 , x = 10
Step-by-step explanation:
given the equation
(x - 3)² = 49 ( take square root of both sides )
[tex]\sqrt{(x - 3)^2}[/tex] = ± [tex]\sqrt{49}[/tex] , that is
x - 3 = ± 7 ( add 3 to both sides )
x = 3 ± 7
Then
x = 3 - 7 = - 4
x = 3 + 7 = 10
The solutions are x = - 4 , x = 10