Find the solution of the equation x + 2(sqrt{x – 8}) = 0
-
A.
(4, 16) -
B.
(2, 4) -
C.
(4, 1) -
D.
(1, 16) -
E.
(16, 16)
Correct Answer: Option A
Explanation
x + 2(sqrt{x – 8}) = 0, Let x = y
x = y2
y2 + 2y – 8 = 0
(y + 4)(x – 2) = 0
y = -4 or 2
x = 16 or 4