Question

Out of group of swans, $\frac{7}{2}$ times the square root of the number are playing on the shore of a bank. The remaining ones are paying with amorous flight are two in the water. What is the total number of swans?

Answer 1

Let the total number swan=$x$

number of swan playing on the shore=$\frac{7}{2}\sqrt{x}$

Remaining swan=$2$

A/Q question

$=>x=\frac{7}{2}\sqrt{x}+2$

$=>x-2=\frac{7}{2}\sqrt{x}$

$=>2(x-2)=7\sqrt{x}$

$=>4(x-2{)}^2=49x$

$=>4x^2-65x+16=0$

$=>(x-16)(4x-1)=0$

$(x-16)=0$ or $(4x-1)=0$

$x=10$ or $x=\frac{1}{4}$

since, the number of having cannot be $\frac{1}{4}$

$=>x=16$

the total number of swans=$16$