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morpeh [17]
3 years ago
6

(50 points)There are x ducks in a pond. The number of swans in the pond is equal to the square root of the number of ducks. If t

he total number of swans and ducks in the pond is 12, find the number of ducks.
Mathematics
2 answers:
RoseWind [281]3 years ago
6 0

there are nine ducks and 3 swans

sqrt of 9 equals 3

3 + 9 = 12

kirza4 [7]3 years ago
4 0

Answer:

The number of ducks are 9.

Step-by-step explanation:

There are x ducks in a pond.

The number of swans in the pond is equal to the square root of the number of ducks.

Means swans = \sqrt{x}

If the total number of swans and ducks in the pond is 12.

x+ \sqrt{x} =12

=> \sqrt{x} =12-x

Squaring both sides, we get

x=x^{2} +144-24x

=> Taking everything on one side and equating to 0

x^{2} -x-24x+144=0

=> x^{2}-25x+144=0

=> Solving this we get, x = 9 and x = -16

So, we have number of ducks as 9.

And number of swans = \sqrt{9} =3

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