SOLUTION: Not sure if this is the appropriate topic Directions says to solve x minus 1 over x divided by x plus 1 minus 2 over x all equals 1 x-__1__ x ___________ _=1 x+1 - __

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Not sure if this is the appropriate topic Directions says to solve x minus 1 over x divided by x plus 1 minus 2 over x all equals 1 x-__1__ x ___________ _=1 x+1 - __      Log On


   

Question 144036: Not sure if this is the appropriate topic
Directions says to solve
x minus 1 over x divided by x plus 1 minus 2 over x all equals 1
x-__1__
x
_____________=1
x+1 - __2__
x
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x-%281%2Fx%29%29+%2F+%28x%2B1-%282%2Fx%29%29++=1

Multiply both sides of your equation by the denominator on the left:

+x-%281%2Fx%29=x%2B1-%282%2Fx%29+

Add -x to both sides:

-%281%2Fx%29=1-%282%2Fx%29

Add -1 to both sides, and add 1%2Fx to both sides:

-1=-%282%2Fx%29%2B%281%2Fx%29

Combine the fractions:

-1=-%281%2Fx%29

Multiply both sides by -x:

x=1

Check:

+%281-%281%2F1%29%29+%2F+%281%2B1-%282%2F1%29%29++=1

0%2F0%3C%3E1.

Oops! The single possible element in the solution set is NOT in the domain of the function on the right of your original equation. Therefore, the solution set for the given equation is empty.