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Is x < - 20 ?

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Is x < - 20 ?  [#permalink]

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New post Updated on: 15 Feb 2016, 07:23
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Is x < - 20 ?

(1) x^2 + 40x + 391 = 0

(2) x^2 = 529

Originally posted by Ekland on 15 Feb 2016, 07:20.
Last edited by Bunuel on 15 Feb 2016, 07:23, edited 1 time in total.
Edited the question.
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Re: Is x < - 20 ?  [#permalink]

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New post 15 Feb 2016, 08:34
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Nez wrote:
Is x < - 20 ?

(1) x^2 + 40x + 391 = 0

(2) x^2 = 529



From statement 1
x^2 +23x+17x+391 =0
(x+23) (x+17) = 0
x= -23 , -17

From statement 2
x= +23, -23

From Both
x= -23

Hence C

Was it this simple? Did I miss something? Any reason it is 700 level?
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Re: Is x < - 20 ?  [#permalink]

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New post 15 Feb 2016, 08:36
KarishmaParmar wrote:
Nez wrote:
Is x < - 20 ?

(1) x^2 + 40x + 391 = 0

(2) x^2 = 529



From statement 1
x^2 +23x+17x+391 =0
(x+23) (x+17) = 0
x= -23 , -17

From statement 2
x= +23, -23

From Both
x= -23

Hence C

Was it this simple? Did I miss something? Any reason it is 700 level?


Thanks. Updated the tag. Your solution is fine.
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Re: Is x < - 20 ?  [#permalink]

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New post 24 Jun 2016, 02:50
2
What is being tested in this question?

Is there a fast way to realize that 17 times 23 is 391? How can you do it fast? Otherwise I don't see what's the point of this question.

Thanks!
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Re: Is x < - 20 ?  [#permalink]

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New post 24 Jun 2016, 03:15
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1
iliavko wrote:
What is being tested in this question?

Is there a fast way to realize that 17 times 23 is 391? How can you do it fast? Otherwise I don't see what's the point of this question.

Thanks!


Realize that 17*23= (20-3)*(20+3) = 20^2-3^2= 400-9 = 391.

I used the relation that (a-b)(a+b)= a^2-b^2

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Re: Is x < - 20 ?  [#permalink]

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New post 24 Jun 2016, 03:29
2
Nice one!.. Didn't notice the difference of squares!

Good job! thank you :)
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Re: Is x < - 20 ?  [#permalink]

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New post 24 Oct 2018, 20:07
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: Is x < - 20 ? &nbs [#permalink] 24 Oct 2018, 20:07
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