Question

1/x+2+1/x=3/4

Plz answer

Answer 1

Answer:

Hey Mate!!

$\frac{1}{x + 2} + \frac{1}{x} = \frac{3}{4} \\ = > \frac{x + x + 2}{(x + 2)(x)} = \frac{3}{4} \\ = > \frac{2x + 2}{ {x}^{2} + 2x} = \frac{3}{4} \\ = > 4(2x + 2) = 3( {x}^{2} + 2x) \\ = > 8x + 16 = 3 {x}^{2} + 6x \\ = > 8x - 6x - 3 {x}^{2} + 16 = 0 \\ = > - 3 {x}^{2} - 6x + 8x + 16 = 0 \\ = > - 3x(x + 2) + 8(x + 2) = 0\\ = > ( - 3x + 8)(x + 2) = 0 \\ = > \boxed{ \bold{x = \frac{8}{3} \: or \: ( - 2)} }$