Out of a number of Saras birds, one fourth the number are moving about inlotus plants; ^th coupled(along)with ^th as wellas 7 times the square root of the number move on a hill; 56 birdsremain in vakula trees. What is the total number of birds?.

324x = x ² – 288x + 20736
x ² – 612x + 20736 = 0
x ² - 576x – 36x + 20736 = 0
x(x – 576) – 36(x – 576) = 0
(x – 36)(x – 576) = 0
(x – 36) = 0 or (x – 576) = 0
x = 36 or x = 576
Since the remaining birds where 56 so we neglect the value x = 36.
Therefore the total number of birds are 576.
Checking:

= 64 + 144 + 7× 24 + 144 + 56
= 64 + 144 + 168 + 144 + 56
= 576.