Find the solution of the equation x + 2\(\sqrt{x} – 8\) = 0
-
(4, 16)
- (2, 4)
- (4, 1)
- (1, 16)
- (16, 16)
The correct answer is: A
Explanation
x + 2\(\sqrt{x} - 8 = 0, Let \sqrt{x} = y\)
x = \(y^2\)
\(y^2 + 2y\) - 8 = 0
(y + 4)(x - 2) = 0
y = -4 or 2
x = 16 or 4