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Question

Out of a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. Find the total number of swans.

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Solution

Let the total number of swans be x.

Then, total numbers of swans are playing on the share of a pond =

It is given that

Let , then

Because is not correct.

Thus, is correct. Putting the value of y

Square root both sides, we get

Therefore, the total number of swans be


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