Question

(x - 4)2 = 36
Which of the following expressions represents the solutions to the given equation?

-4 ± √(36)

4 ± √(36)

16 ± √(36)

Answer 1

\[\huge (x - 4)^2 = 36\]
\[\huge \rightarrow (x - 4) = \pm \sqrt{36}\]
\[\huge \rightarrow x = 4\pm \sqrt{36}\]
Hence \[\huge 4 \pm \sqrt{36}\] represents the solutions to the given equation.
Thus option 2 is the correct answer.