Question

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

Answer 1

Answer: 36

Step-by-step explanation: let the number of camel is x

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

Answer 2

Answer:

Total Number of camels = 36

Step-by-step explanation:

Suppose there are x camels in the herd

Given that

Number of camels seen in the forest = $\frac{x}{4}$

Number of camels gone to the mountains = $2\sqrt{x}$

Number of camels on the bank of river = 15

So, total number of camels can be found by adding all the camels

Total Number of Camels = $\frac{x}{4}+2\sqrt{x}+15$

$x=\frac{x}{4}+2\sqrt{x}+15$

Rearranging

$x-\frac{x}{4}-15=2\sqrt{x}$

$\frac{4x-x}{4}-15=2\sqrt{x}$

$\frac{3x}{4}-15=2\sqrt{x}$

$\frac{3x-60}{4}=2\sqrt{x}$

Taking square on both sides

$(\frac{3x-60}{4})^{2}=(2\sqrt{x})^{2}$

$\frac{(3x-60)^{2}}{16}=4x$

$9\frac(x-20)^{2}}{16}=4x$

$9(x-20)^{2}=64x$

$9(x^{2} -40x + 400)=64x$

$9x^{2} -360x + 3600)=64x$

Rearranging

$9x^{2} -360x + 3600 -64x = 0$

$9x^{2} -424x + 3600 = 0$

Solving by quadratic formula, we get

x = 36 or x = 100/9

As the number of camels can not be in fraction, so correct answer is 36.