Math, asked by sankalp2415, 1 month ago

Out of a number of saras bird one fourth of the number are moving about in lots 19 coupled with one fourth as well 7 time the square root of the number move on a hill 56 birds remain in vocular tree what is total number of birds​

Answers

Answered by bhuneswar321
1

Answer:

The answer is 27 rush EU it is ge to get a

Step-by-step explanation:

I don't know what you are going through and

Answered by VelvetBlush
22

Let the total number of birds = x

Let the total number of birds = xBirds moving in lotus plants = \sf{\frac{1}{4}x}

Birds moving on a hill =  \sf{\frac{1}{9} x +  \frac{1}{4} x + 7 \sqrt{x} }

According to the question, the total number of birds will be

=  \sf{\frac{1}{4} x +  \frac{1}{9} x +  \frac{1}{4} x + 7 \sqrt{x}  + 56 = x}

Multiplying each term by 36, we get

= \sf{9x + 4x + 9x - 36x + 7 \times 36 \sqrt{x}  + 56 \times 36 = 0}

=  \sf{- 14x + 7 \times 36 \sqrt{x}  + 56 \times 36 = 0}

Dividing both sides by (-14), we get

= \sf{x-18√x-144=0}

Is is Quadratic in √x

= \sf{ {( \sqrt{x} )}^{2}  - 24 \sqrt{x}  + 6 \sqrt{x}  - 144 = 0}

= \sf{ \sqrt{x} ( \sqrt{x}  - 24) + 6( \sqrt{x}  - 24) = 0}

= \sf{( \sqrt{x}  + 6)( \sqrt{x - 24)} = 0}

=  \sf{\sqrt{x}  = 24 \: or \:  \sqrt{x}  =  - 6}

= \sf{x =  {(24)}^{2}  = 576}

Hence, the total number of birds = 576

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