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Andrew solved the equation:

 

4/x^2-8x+12 = x/x-2 + 1/x-6

 

 He said that 2 is a extraneous solution because it creates a 0 in the denominator. Is Andrew correct in his thinking? Explain how you know. 

 

Please help me, I'm horrible at extraneous solutions. Thank you so so so much you're amazing :D

 Dec 12, 2018
 #1
avatar+98005 
+2

Look  at     x  / (x - 2)

 

Note that  if x = 2  we get

 

2 /  ( 2 - 2)   =      

 

2 / 0

 

But division by 0 is undefined.....so   2   will  not work.....so.....it is extraneous !!!

 

 

cool cool cool

 Dec 12, 2018

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