turkey-yks 2015 Q7

turkey-yks · Other · lys1-math Number Theory Linear Diophantine Equations
$$\frac { x + \frac { 1 } { x + 2 } } { 1 - \frac { 1 } { x + 2 } } = \frac { 1 } { 4 }$$
What is the value of $x$ that satisfies this equality?
A) $\frac { - 3 } { 2 }$
B) $\frac { - 3 } { 4 }$
C) $\frac { - 1 } { 4 }$
D) $\frac { - 5 } { 4 }$
E) $\frac { - 3 } { 8 }$
$$\frac { x + \frac { 1 } { x + 2 } } { 1 - \frac { 1 } { x + 2 } } = \frac { 1 } { 4 }$$

What is the value of $x$ that satisfies this equality?\\
A) $\frac { - 3 } { 2 }$\\
B) $\frac { - 3 } { 4 }$\\
C) $\frac { - 1 } { 4 }$\\
D) $\frac { - 5 } { 4 }$\\
E) $\frac { - 3 } { 8 }$