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.

Manjulata Das · 18th Feb 2019 .

Rahul Thapa · 18th Feb 2019 .

Let x be the total numbers of camels.

Number of camels seen in the forest = x/4

Number of camels gone to mountains = 2√x

Number of camels on the bank of river = 15

Total number of camels = x/4 + 2√x + 15 = x

⇒ x + 8√x + 60 = 4x

⇒ 3x - 8√x – 60 = 0

Put √x = y

⇒ 3y2 – 8y – 60 = 0

⇒ 3y2 – 18y + 10y – 60 = 0

⇒ 3y(y – 6) + 10(y – 6) = 0

⇒ (y – 6)(3y + 10) = 0

⇒ y = 6 or 3y + 10 = 0

⇒ y = 6 or y = - 10/3

Now y = 6

⇒ √x = 6

On squaring x = 36

Hence, total number of camels = 36

Jasmita Das · 21st Mar 2019 .

Number of camels was seen in the forest = x/4

Number of camels had gone to the mountains = 2√x

number of camels were seems on the bank of river = 15

so, total number of camels = x/4 + 2√x + 15 = x

or, 2√x + 15 = 3x/4

or, 8√x + 60 = 3x

or, 64x = 9x² + 3600 - 360x

or, 9x² + 360x + 64x + 3600 = 0

or, 9x² + 424x + 3600 = 0

After solving with help of formula to find root of quadratic equation

We get, x = 36 and 100/9

Hence, number of camels = 36

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