Solve the equation: (y – 11sqrt{y} + 24 = 0)

A.
8, 3 
B.
64, 9 
C.
6, 4 
D.
9, 8
Correct Answer: Option B
Explanation
(y – 11sqrt{y} + 24 = 0 implies y + 24 = 11sqrt{y})
Squaring both sides,
(y^{2} + 48y + 576 = 121y)
(y^{2} + 48y – 121y + 576 = 0 implies y^{2} – 73y + 576 = 0)
(y^{2} – 64y – 9y + 576 = 0)
(y(y – 64) – 9(y – 64) = 0)
((y – 9)(y – 64) = 0)
(therefore text{y = 64 or y = 9})