One fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.

Explanation

Let, the total number of camels be x.
No. of camels seen in the forest `=(x)/(4)`
No. of camels gone to the mountain `=2sqrtx`
No. of camels on the bank of the river =15
According to given condition
`(x)/(4)+2sqrtx+15=x`
`impliesx+8sqrtx+60=4x`
`implies3x-8sqrtx-60=0`
Let `sqrtx=y" ".......(1)`
`because3y^(2)-8y-60=0`
`implies3y^(2)-18y+10y-60=0`
`implies3y(y-6)+10(y-6)=0`
`implies(3y+10)(y-6)=0`
`impliesy=(-10)/(3)ory=6`
Substituting y in equation (1)
`sqrtx=(-10)/(3)`
But square root of a positive number cannot be negative. So reject it.
`becausesqrtx=6impliesx=36`
Hence, no of camels =36.