Math, asked by Ravinders1, 1 year ago

Out of a number of Saras Birds one fourth of the number are moving about in Lotus plant 1/9 coupled with 1/4 as well as 7 times the square root of the number move on a hill 56 words remain vakula tree. what is the total number of birds?

Answers

Answered by manjotbrar48
11

Your answer is in the attachment.

Hope it helps.

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Attachments:
Answered by samimpapa354
3

Answer:

Given

Out of a number of birds, one-fourth of the number are moving about the lotus plants.

the along with th as well as 7 times the square root of the number move on a hill 56 birds remain in vakula trees.

To find

Find the total number of birds ......?

Solutions

Let the total number of birds = x

Number of birds moving about in lotus plant = x/4

Number of birds moving on a hill

\: \: \: \: \: \leadsto \: \: \frac{x}{9} \: + \: \frac{x}{4} \: + \: {7}\sqrt{x}

Number of birds in vakula tree 56

So,

\: \: \: \: \: \: \: \frac{x}{4} \: + \: {(\frac{x}{9} \: + \: \frac{x}{4} \: + \: {7}\sqrt{x})} \: + \: {56} \: \: = \: \: {x}

\: \: \: \: \: \: \: {x} \: - \: \frac{x}{9} \: - \: \frac{x}{2} \: - \: {7}\sqrt{x} \: - \: {56} \: \: = \: \: {0}

\: \: \: \: \: \: \: \frac{7x}{18} \: - \: {7}\sqrt{x} \: - \: {56} \: \: = \: \: {0}

\: \: \: \: \: \: \: {7} \: {(\frac{x}{18} \: - \: \sqrt{x} \: - \: {8})} \: \: = \: \: {0}

\: \: \: \: \: \: \: \frac{{x} \: - \: {18}\sqrt{x} \: - \: {144}}{18} \:\: = \: \: {0}

\: \: \: \: \: \: \: {x} \: - \: {18}\sqrt{x} \: - \: {144} \: \: = \: \: {0}

Put √x = y

\: \: \: \: \: \: \: {y}^{2} \: - \: {18y} \: - \: {144} \: \: = \: \: {0}

\: \: \: \: \: \: \: {y}^{2} \: - \: {24y} \: + \: {6y} \: - \: {144} \: \: = \: \: {0}

\: \: \: \: \: \: \: {y} \: {({y} \: - \: {24})} \: + \: {6} \: {({y} \: - \: {24})} \: \: = \: \: {0}

\: \: \: \: \: \: \: {({y} \: - \: {24})} \: \: \: {({y} \: + \: {6})}

\: \: \: \: \:  \: \: {y} \: \: = \: {24}, \: {-6} \: \: \: \: but \: \: y \: \: \neq \: \: {-6}

\: \: \: \: \: \: \: {\sqrt{x}} \: \: = \: {y}

\: \: \: \: \: \: \: {\sqrt{x}} \: \: = \: {24}

\: \: \: \: \: \: \: {x} \: \: = \: {(24)}^{2}

\: \: \: \: \: \: \: {x} \: \: = \: {576}

the total number of birds is 576

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