Question

What is the solution to the equation?

(x - 2)^1/2 + 4 = x
A. -3 and -6
B. 3 and 6
C. -3
D. 6

Answer 1

(D). 6

Explanation:

`√(x-2)` + 4 = x and x ≥ 2

Let analyze the answer's choices

(A). Does not satisfy domain

(B).
`√(3-2)` + 4 ≠ 3

(C). Does not satisfy domain

(D). √(6 - 2) + 4 = 6 ⇒ x = 6 is the answer.

Answer 2

Answer: D
1/2x-1+4=x
1/2x-x=-3
-1/2x=-3
x=6