one FOURTH OF A HERD OF CAMELSWAS SEEN IN THE FOREST .
TWICE THE SQUARE ROOT OF YHE HERD HAD GONE TO MOUNTAINS AND THE REMAINING15 CAMELS WERE SEEN ON THE BANK OF THE RIVER .
FIND THE TOTAL NO. OF CAMELS
went in forest: 1/4 x
in mountain: 2\sqrtx
x - 1/4x - 2\sqrtx = 15
3/4 x - 2sqrtx = 15
square both sides
9/16x^2 - 4x = 225
divide both sides by 9/16
x^2-64/9x = 400
x^2 - 64/9x -400= 0
use factoring
or u could guess seeing that a camel cannot be split into quarters or sqrts. thus it must be a number less than 100 which is a square and divisble by 4...so the answer is 36
To find the total number of camels in the herd, we need to set up and solve an equation based on the given information.
Let's assume the total number of camels in the herd is represented by 'x.'
According to the first part of the information, one-fourth of the herd was seen in the forest. So, (1/4) * x camels were seen in the forest.
In the second part, it says that twice the square root of the herd had gone to the mountains. The square root of x would be √x, and twice that would be 2 * √x.
Finally, it says that the remaining 15 camels were seen on the bank of the river.
Putting all the information together, we can set up the equation as follows:
(1/4) * x + 2 * √x + 15 = x
To solve this equation, we'll follow these steps:
1. Distribute (1/4) to x:
x/4 + 2 * √x + 15 = x
2. Move all the terms to one side by subtracting x from both sides:
x/4 - x + 2 * √x + 15 = 0
3. To simplify the equation further, we multiply all terms by 4 to eliminate the fraction:
x - 4x + 8 * √x + 60 = 0
4. Combine like terms:
-3x + 8 * √x + 60 = 0
5. Move the constant term to the other side:
-3x + 8 * √x = -60
6. Solve for √x by dividing through by 8:
√x = (-60 + 3x) / 8
7. Square both sides to get rid of the square root:
x = ((-60 + 3x) / 8)²
At this point, we can use algebraic methods or a numerical approximation method to solve for x. However, finding the exact value of x might be challenging due to the complexity of the equation.