Question

solve this quickly u will get 50 points​

Answer 1

Answer:

To Find:- value of x

Solution:-

Given

Number of Men=Number of Women

them

$\sqrt{9 + 2x} - \sqrt{2x} = \frac{5}{ \sqrt{9 + 2x} } \\ 5 = \sqrt{9 + 2x} ( \sqrt{9 + 2x} - \sqrt{2x} ) \\ 5 = (\sqrt{9 + 2x} ) ^{2} - \sqrt{9 + 2x} ( \sqrt{2x} ) \\ 5 = 9 + 2x - \sqrt{18x + 4x^{2} } \\ 9 - 5 + 2x- \sqrt{18x + 4x^{2} } = 0 \\ 4 + 2x = \sqrt{18x + 4x^{2} }$

Squaring Both sides

$(4 + 2x) ^{2} = ( \sqrt{18 x+ 4 {x}^{2} } ) ^{2} \\ 16 + 16x + 4x^{2} = 18x + {4x}^{2} \\ 16 + 16x = 18x \\ 2x = 16\\ x = \frac{16}{2} \\ x = 8$

therefore value of x=8

and number of men and women=

$\sqrt{9 + 2x} - \sqrt{2x} \\ \sqrt{9 + 2 \times 8} - \sqrt{2 \times 8} \\ \sqrt{25} - \sqrt{16} = 5 - 4 = 1$

therefore the number of voted person= 1 man

and also 1 woman(men voters=equal voters)

Therefore The Correct answer is Option C) 8