<PRE><B>Question 874934</B>
let n = number of camels in the herd
:
one fourth of a heard of camels was seen in the forest. 
twice the square root of the number of heard had gone to mountain
 and remaining 15 camels were seen on the bank of a river.
find the number of camels. 
n = {{{1/4}}}n + {{{2sqrt(n)}}} + 15
multiply both sides by 4
4n = n + {{{8sqrt(n)}}} + 60
4n - n - 60 = {{{8sqrt(n)}}}
3n - 60 = {{{8sqrt(n)}}}
square both sides, FOIL the left side
9n^2 - 180n - 180n + 3600 = 64n
9n^2 - 360n - 64n + 3600  = 0
9n^2 - 424n + 3600 = 0
You can use the quadratic formula to find n, but this will factor to:
(9n-10)(n-36) = 0
n = 36 camels is the answer that makes sense here
:
:
Check this
{{{1/4}}}36 = 9
{{{2sqrt(36)}}} = 12
9 + 12 + 15 = 36</PRE>