The question says: "Find all real solutions of the equation": (1/(x-1))-(2/x^2)=0 The exapmple in this section of the text says to multiply by the LCD, to get rid of the fractions, and then factor once you've expanded the left side. I would like to double check the steps, because I keep getting stuck on steps 1-2.

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Asked Aug 29, 2019
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The question says: "Find all real solutions of the equation":

 

(1/(x-1))-(2/x^2)=0

 

The exapmple in this section of the text says to multiply by the LCD, to get rid of the fractions, and then factor once you've expanded the left side. I would like to double check the steps, because I keep getting stuck on steps 1-2. 

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Expert Answer

Step 1

LCM of the denominators= x^2 (x-1).

Step 2

We multiply both side by x^2 (x-1) and distribute it.

 

12
=0
х*
х-1
tо( iо
2
—х"(x-1)(0)
Or, x(x
X-1
Or, x?-2(х-1)-0
help_outline

Image Transcriptionclose

12 =0 х* х-1 tо( iо 2 —х"(x-1)(0) Or, x(x X-1 Or, x?-2(х-1)-0

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Step 3

Then distribute -2 too. 

x^2-2x+2 can not be factored. We ...

x2-2(x-1) 0
Or
, x2-2x+2-0
help_outline

Image Transcriptionclose

x2-2(x-1) 0 Or , x2-2x+2-0

fullscreen

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