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 May 22nd, 2009, 02:16 PM #1 Newbie   Joined: May 2009 Posts: 17 Thanks: 0 Please Help Me Simplify! TIA! Question: For x<0, simplify the following: ** Hint: $\sqrt{x^2}$ $\sqrt{x^4-4x^2}/x$ My Answer: $-\sqrt{x^2-4}$ I know I can simplify further ( difference of sq. ) But this looks neater
 May 22nd, 2009, 02:48 PM #2 Senior Member   Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 Re: Please Help Me Simplify! TIA! You are partly correct - the expression will be negative for some values of $x.$ But not for all - what if $x>0?$
May 22nd, 2009, 02:58 PM   #3
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Quote:
 ut not for all - what if
Hmm.. Not to sure. The question stated that, "For X<0 , simplify.." To be honest, I just threw the minus sign in there. Should it be plus/minus then?

Or, since it states, "For X<0, it should be a minus sign?

Confused. Thanks

 May 22nd, 2009, 03:26 PM #4 Senior Member   Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 Re: Please Help Me Simplify! TIA! Yep. Didn't spot the $x<0.$ My bad You were right, as long as $x\leq-2.$
 May 22nd, 2009, 03:34 PM #5 Newbie   Joined: May 2009 Posts: 17 Thanks: 0 Re: Please Help Me Simplify! TIA! No worries, at least I don't feel so crazy now. Thanks!

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