Question

Find the value of X

Answer 1

answer..................

Answer 2

Answer:

⇒ (2/3)

Step-by-step explanation:

$Given:\frac{2x}{1 +\frac{1}{1 +\frac{x}{1-x}}}=1$

$=>2x = 1*[1+\frac{1}{1+\frac{x}{1-x}}]$

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

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

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

$=>2x=1+1-x$

$=>2x=2-x$

$=>3x=2$

$=>\boxed{x=\frac{2}{3}}$

Hope it helps!