Math, asked by Anonymous, 11 months ago

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Answers

Answered by DeviIQueen
16

Answer:

Refer To the attachment!!!!

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Answered by Anonymous
6

Answer:

Number of camels in the herd are 36.

Solution:

Let total number of camels in the herd are x.

Here A.T.Q.

One fourth of that group seen in forest

 \begin{lgathered}\frac{x}{4} \\\end{lgathered} </p><p></p><p>  \:

Twice \:  the  \: square  \: root  \:   of  \: group   \\ \: are \:  seen \: in \:  mountains \\  =\begin{lgathered}2 \sqrt{x} \\\end{lgathered} </p><p>

camels seen near river = 15

So

\begin{lgathered}\frac{x}{4} + 2 \sqrt{x} + 15 = x \\ \\ \frac{x}{4} - x + 15 = - 2 \sqrt{x} \\ \\ \frac{x - 4x + 60}{4} = - 2 \sqrt{x} \\ \\ \frac{ - 3x + 60}{4} = - 2 \sqrt{x} \\ \\ - 3x + 60 = - 8 \sqrt{x} \\ \\\end{lgathered} </p><p></p><p> \:

squaring both sides

\begin{lgathered}{( - 3x + 60)}^{2} = {( - 8 \sqrt{x} )}^{2} \\ \\ 9 {x}^{2} + 3600 - 360x = 64x \\ \\ 9 {x}^{2}-360x - 64x + 3600 = 0 \\\\9{x}^{2}-424x+ 3600=0\end{lgathered} </p><p> \:

apply Quadratic formula to solve

\begin{lgathered}x_{1,2} = \frac{424 ± \sqrt{179776 - 4 \times 9 \times3600 } }{18} \\ \\ x_{1,2} = \frac{424 ±\sqrt{179776 - 129600} }{18}\\\\x_{1,2} = \frac{424 ± \sqrt{50176} }{18}\\\\x_{1,2} = \frac{424±224 }{18}\\\\x_{1}=\frac{648}{18}\\\\x_{1} =36\\\\x_{2}=\frac{200}{18}\\\\x_{2} =11.111\\\\\end{lgathered} </p><p> \:

Discard value of x2 since number of camels cannot be fractional

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