Question

1/b+x=3b/2x^2 - 1/xbtw ^2 means square​

Answer 1

Answer:

$x = \frac{ - 3b}{4} \: or \: b$

Step-by-step explanation:

$\frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x}$

$= > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} }$

$= > 2 {x}^{2} = (b + x)(3b - 2x)$

$= > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2}$

$= > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2}$

$= > 3 {b}^{2} + bx - 4 {x}^{2} = 0$

$= > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0$

$= > b(3b + 4x) - x(3b + 4x) = 0$

$= > (3b + 4x)(b - x) = 0$

Hence,

$x = \frac{ - 3b}{4} \: or \: b$