Solve the equation. Round to the nearest hundredth when necessary. 4(x - 2)^2 = 16

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Answer 1

To solve 4(x-2)^2 = 16

divide each side by 4 to have (x-2)^2 = 4

take the square root of both sides

x-2 = -2 or x-2 = 2

add 2 to each side

x = 0 or x = 4

substitute back in for checking if the squaring gave false answers:

4 ( 0-2)^2 = 16

4 (-2)^2 = 16

4 (4) = 16 true

4 ( 4-2)^2 = 16

4 (2)^2 = 16

4 (4) = 16 true.

the values for x are 0 and 4.