Question

2x+3/ 3+x =3/2


solve plsss​

Answer 1

Answer:

$2x + \frac{3 }{3 + x} = \frac{3}{2}$

$\frac{2x(3 + x) + 3}{3 + x} = \frac{3}{2}$

$2 \times 2x(3 + x) + 2 \times 3 = 3(3 + x)$

$4x(3 + x) + 6 = 9 + 3x$

$12x + 4x {}^{2} + 6 = 9 + 3x$

$4x { }^{2} + 9x - 3 = 0$

$\frac{ - b + - \sqrt{b {}^{2} - 4ac} }{2a}$

$- 9 + - \sqrt{81 + 48} \div 8$

ans

$\frac{ - 9 + - \sqrt{129} }{8}$