Question

Solve the equation (x-5)1/2+5=2

Answer 1

(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 :)

Answer 2

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)