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haywardfaultguy
 Post subject: DS, Book VIII, #55
PostPosted: Mon Jan 30, 2012 10:36 pm 
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Joined: Mon Jan 30, 2012 10:17 pm
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Can someone explain the answer from the back of the book? It simply says (1) and (2) imply that X=2 but doesn't provide the logic behind this claim. It isn't obvious to me why this is the case.
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VP_Help
 Post subject: Re: DS, Book VIII, #55
PostPosted: Tue Jan 31, 2012 5:05 pm 
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Joined: Thu Feb 12, 2009 6:32 pm
Posts: 497
from (1)

(x - 2)(x - 1) = 0, so x = 2 or x = 1

from (2)

(x - 2)(x + 1) = 0 , so x = 2 or x = - 1


since x = 2 is common to both, x = 2 and (1) and (2) together are sufficient.


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