Respuesta :

The first thing we are going to do for this case is to rewrite the equation correctly:
 ((x-5) ^ (1/2)) + 5 = 2
 Clearing x we have:
 (x-5) ^ (1/2) = 2-5
 (x-5) ^ (1/2) = -3
 x-5 = root (-3)
 x-5 = i * root (3)
 x = 5 + i * root (3)
 Answer:
 
The value of x is given by:
 
x = 5 + i * root (3)
(x - 5)1/2 + 5 = 2 
(x - 5)1/2 + 5 - 5 = 2 - 5
(x - 5)1/2 = -3
1/2x - 2.5 = -3
1/2x - 2.5 + 2.5 = -3 + 2.5
1/2x = -1/2
(1/2x)/(1/2) = (-1/2)/(1/2)
x = -1        <-------------answer :)