Answer :

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

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