Question

Solve (x-4)² = 5.OA. x=4± √5OB. x=-4± √√5OC. x=5± √4OD. x = 9 and x = -1|

Answer 1

Given:

$(x-4)^2=5$

Required:

To solve the given equation.

Explanation:

Consider

$\begin{gathered} (x-4)^2=5 \\ \\ x-4=\pm\sqrt{5} \\ \\ x=4\pm\sqrt{5} \end{gathered}$

Final Answer:

The option A is correct.

$x=4\pm\sqrt{5}$