document.write( "Question 874934: 4)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. (ans=36) \n" ); document.write( "

Algebra.Com's Answer #527853 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let n = number of camels in the herd
\n" ); document.write( ":
\n" ); document.write( "one fourth of a heard of camels was seen in the forest.
\n" ); document.write( "twice the square root of the number of heard had gone to mountain
\n" ); document.write( " and remaining 15 camels were seen on the bank of a river.
\n" ); document.write( "find the number of camels.
\n" ); document.write( "n = $\"1%2F4\"$ n + $\"2sqrt%28n%29\"$ + 15
\n" ); document.write( "multiply both sides by 4
\n" ); document.write( "4n = n + $\"8sqrt%28n%29\"$ + 60
\n" ); document.write( "4n - n - 60 = $\"8sqrt%28n%29\"$
\n" ); document.write( "3n - 60 = $\"8sqrt%28n%29\"$
\n" ); document.write( "square both sides, FOIL the left side
\n" ); document.write( "9n^2 - 180n - 180n + 3600 = 64n
\n" ); document.write( "9n^2 - 360n - 64n + 3600 = 0
\n" ); document.write( "9n^2 - 424n + 3600 = 0
\n" ); document.write( "You can use the quadratic formula to find n, but this will factor to:
\n" ); document.write( "(9n-10)(n-36) = 0
\n" ); document.write( "n = 36 camels is the answer that makes sense here
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( " $\"1%2F4\"$ 36 = 9
\n" ); document.write( " $\"2sqrt%2836%29\"$ = 12
\n" ); document.write( "9 + 12 + 15 = 36 \n" ); document.write( "

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