Square root and absolute value

sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pm; Location: INDIA; Thanked: 84 times; Followed by:3 members

by sudhir3127 » Wed Aug 13, 2008 3:33 am

Is sqrt(x-3)^2=3-x

(1) x does not equal 3
(2) -x*abs(x)>0

If u see statement 2. for it to be true X should be <0

suppose X = -1

sqroot ( -1-3)^2 = 4 = 3-(-1)
hence sufficient .

Statement 1 doesnt say anything ,,

Hence B .

Hope it helps..

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krisraam: Master | Next Rank: 500 Posts; Posts: 221; Joined: Wed Jan 21, 2009 10:33 am; Thanked: 12 times; Followed by:1 members

by krisraam » Wed Jul 22, 2009 6:18 pm

Sqrt(x-3)^2 = |x-3|

|x-3| = 3-x when x-3 < 0 ie x<3

Stmt 2 says x<0

So B is sufficient.

Thanks
Raama

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