1/4th of a herd of camel was seen in  forest.Twice the sq.root of herd had gone to mountain&remaining 15 camels were on river bank.Total camels=?

Expert Answers

Let the total number of camels be C. We have that (1/4) of the camels had been seen in the forest. Twice the square root of the total number had gone to the forest.

The number that remains is equal to 15.

So we have C - (1/4)*C - 2*sqrt C = 15

=> (3/4)*C - 2*sqrt C = 15

=> 3C - 8* sqrt C = 60

=> 3C - 60 = 8*sqrt C

=> 9C^2 + 3600 - 360C = 64C

=> 9C^2 - 424C + 3600 = 0

C = [-b + sqrt (b^2 - 4ac)]/2a

=> [ 424 + sqrt (424^2 - 4*9*3600)]/18

=> 36

The other root is a fraction and can be ignored,

The total number of camels is 36.

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