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# If a*b≠0, and (x−a)(x+b)=0, is b=a?

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Director
Joined: 03 Feb 2013
Posts: 850
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
If a*b≠0, and (x−a)(x+b)=0, is b=a?  [#permalink]

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05 Nov 2014, 06:22
2
3
00:00

Difficulty:

75% (hard)

Question Stats:

56% (02:01) correct 44% (01:49) wrong based on 120 sessions

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If a*b≠0, and (x−a)(x+b)=0, is b=a?

(1) x+a=0

(2) x+b=0

_________________

Thanks,
Kinjal

My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961

Director
Joined: 03 Feb 2013
Posts: 850
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
Re: If a*b≠0, and (x−a)(x+b)=0, is b=a?  [#permalink]

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05 Nov 2014, 06:25
1
If a·b≠0, and (x−a)(x+b)=0, is b=a?

(1) x+a=0

(2) x+b=0

Statement 1) x+a = 0
x = -a
and also this statement implies that x+b = 0 [as (x-a) is ≠ 0]
=> -a + b = 0
=> a = b - Sufficient

Statement 2) x+b = 0
=> x = -b
Now (x + a) can be = 0 or can be ≠ 0 -> Insufficient.

Hence A)
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Thanks,
Kinjal

My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961

Math Expert
Joined: 02 Sep 2009
Posts: 51280
Re: If a*b≠0, and (x−a)(x+b)=0, is b=a?  [#permalink]

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05 Nov 2014, 06:32
1
1
kinjiGC wrote:
If a*b≠0, and (x−a)(x+b)=0, is b=a?

(1) x+a=0

(2) x+b=0

Similar question to practice: if-a-b-0-and-x-a-x-b-0-is-x-a-174779.html
_________________
Director
Joined: 03 Feb 2013
Posts: 850
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
Re: If a*b≠0, and (x−a)(x+b)=0, is b=a?  [#permalink]

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05 Nov 2014, 07:33
Bunuel wrote:
kinjiGC wrote:
If a*b≠0, and (x−a)(x+b)=0, is b=a?

(1) x+a=0

(2) x+b=0

Similar question to practice: if-a-b-0-and-x-a-x-b-0-is-x-a-174779.html

I searched and I didn't get this thread. Thanks for pointing the thread out.
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Thanks,
Kinjal

My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961

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Joined: 09 Sep 2013
Posts: 9208
Re: If a*b≠0, and (x−a)(x+b)=0, is b=a?  [#permalink]

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21 Oct 2017, 10:38
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If a*b≠0, and (x−a)(x+b)=0, is b=a? &nbs [#permalink] 21 Oct 2017, 10:38
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