Question

One fourth of herd of goats was seen in the forest. Twice the square root of the number of the herd had gone up the hill and the remaining 15 goats were on bank of the river. Find the total number of goats. I got the equation to be x/4 + 2 root x + 15 = x but didn't get the answer. It is given 36 in the book. Let's see who can do it first.

Answer 1

x/4 + 2√x + 15 = x
3x/4 - 2√x - 15 = 0
3x - 8√x - 60 = 0
(3√x+10)(√x-6) = 0

so, since √x=6, x=36

Answer 2

Answer tough