+0  
 
0
40
1
avatar+319 

Which statement best reflects the solution(s) of the equation?

 

SamJones  Feb 9, 2018
Sort: 

1+0 Answers

 #1
avatar+82916 
+1

1 /  [ x - 1 ]   +  2 / x    =  x / [ x - 1 ]

 

Subtract the first fraction from  both sides

 

2 / x  =     x /  [ x - 1 ]  -   1  /  [  x - 1 ]

 

2 / x  =      [ x - 1] / [ x - 1]         cross-multiply

 

2[ x - 1 ]  =   x [ x - 1 ]       simplify

 

2x  - 2  = x^2  - x            subtract 2x from both sides....add 2 to both sides

 

x^2  - 2x  - x  + 2  = 0     simplify

 

x^2 - 3x +  2  =  0        factor

 

(x - 2) ( x - 1)  =  0

 

Setting each factor to 0  and soving for x produces  x = 2  or x  = 1

 

The second solution  makes two denominators inthe original problem  = 0

 

So....x = 2  is the only solution

 

The third answer is correct

 

 

cool cool cool

CPhill  Feb 9, 2018

11 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details