Question

Solve the following equation (x-4)^2=7

Answer 1

`(x-4) ^ 2 = 7 => | x-4 | = √(7) \\=> x-4=√(7) / or/ x-4=-√(7)\\ => x=√(7) + 4 /or/ x = 4-√(7)`

ok done. Thank to me :>

Answer 2

`(x-4)^2 =7\\\\\implies x-4 = \pm \sqrt 7\\\\\implies x = 4 \pm \sqrt 7\\\\\ \text{Hence,}~ x =4 + \sqrt 7~~ \text{or}~~x =4 -\sqrt 7`