Absolute x

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 353
Joined: Sat Jan 20, 2007 1:29 am
Location: Italy
Thanked: 7 times
GMAT Score:720

Absolute x

by mjjking » Thu Mar 26, 2009 10:09 am
I really don't get why answer is A ... :(
Attachments
absolute x.JPG
Beat The GMAT - 1st priority
Enter a top MBA program - 2nd priority
Loving my wife: MOST IMPORTANT OF ALL!

REAL THING 1 (AUG 2007): 680 (Q43, V40)
REAL THING 2 (APR 2009): 720 (Q47, V41)

Master | Next Rank: 500 Posts
Posts: 168
Joined: Thu Nov 13, 2008 4:34 am
Location: Pittsburgh
Thanked: 9 times

by Tryingmybest » Thu Mar 26, 2009 10:28 am
X is negative

when X is negative |x| = -x because output of modulus will always be positive example |-3|= -( -3)


SQT ( -x|x|) = SQT(( -x)(-x))
= SQT( -x ^ 2)
-= -x


Please let me know if this is not clear

User avatar
Site Admin
Posts: 2567
Joined: Thu Jan 01, 2009 10:05 am
Thanked: 712 times
Followed by:550 members
GMAT Score:770

by DanaJ » Thu Mar 26, 2009 10:31 am
Think of it this way: x is negative, right? That makes -x = |x| positive.
This means that sqrt(-x*|x|) = sqrt(|x|^2) = |x| = -x.

RULE: sqrt(n) will always be positive or equal to zero.