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# GMAT Tip of the Week: No Resolution!

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Math Expert
Joined: 02 Sep 2009
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GMAT Tip of the Week: No Resolution!  [#permalink]

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19 Nov 2014, 08:34
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Joined: 28 Aug 2014
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Re: GMAT Tip of the Week: No Resolution!  [#permalink]

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21 Nov 2014, 11:00
I understand the point of the article, but what would be the solution for " x^2 – 5x – 5 = 0" where it will be positive and negative?
Intern
Joined: 24 Apr 2013
Posts: 16
Concentration: Finance, Strategy
Schools: Rotman '17
Re: GMAT Tip of the Week: No Resolution!  [#permalink]

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24 Nov 2014, 12:55
Kris88 wrote:
I understand the point of the article, but what would be the solution for " x^2 – 5x – 5 = 0" where it will be positive and negative?

You would have to use the quadratic equation if you actually wanted to solve it.
Your two solutions of x would equal [(5+ √45) / 2] & [(5 - √45) / 2]

approx: (x - 5.854) (x + 0.854 )
Director
Joined: 03 Feb 2013
Posts: 838
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
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WE: Engineering (Computer Software)
Re: GMAT Tip of the Week: No Resolution!  [#permalink]

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24 Nov 2014, 13:14
Kris88 wrote:
I understand the point of the article, but what would be the solution for " x^2 – 5x – 5 = 0" where it will be positive and negative?

tdotmba wrote:
Kris88 wrote:
I understand the point of the article, but what would be the solution for " x^2 – 5x – 5 = 0" where it will be positive and negative?

You would have to use the quadratic equation if you actually wanted to solve it.
Your two solutions of x would equal [(5+ √45) / 2] & [(5 - √45) / 2]

approx: (x - 5.854) (x + 0.854 )

You actually don't have to solve. Sum of roots = 5 and product is -ve. So definitely one of them is +ve and other one is -ve and +ve root is more than -ve root by 5.
And as quadratic equations are only defined for real numbers, we will be having only real number solution.
So statement 1 will not be sufficient.

So statement 2 will be required to solve the DS question. Answer will be C)
Intern
Joined: 24 Apr 2013
Posts: 16
Concentration: Finance, Strategy
Schools: Rotman '17
GMAT Tip of the Week: No Resolution!  [#permalink]

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24 Nov 2014, 13:33
kinjiGC wrote:
Kris88 wrote:
I understand the point of the article, but what would be the solution for " x^2 – 5x – 5 = 0" where it will be positive and negative?

tdotmba wrote:
Kris88 wrote:
I understand the point of the article, but what would be the solution for " x^2 – 5x – 5 = 0" where it will be positive and negative?

You would have to use the quadratic equation if you actually wanted to solve it.
Your two solutions of x would equal [(5+ √45) / 2] & [(5 - √45) / 2]

approx: (x - 5.854) (x + 0.854 )

You actually don't have to solve. Sum of roots = 5 and product is -ve. So definitely one of them is +ve and other one is -ve and +ve root is more than -ve root by 5.
And as quadratic equations are only defined for real numbers, we will be having only real number solution.
So statement 1 will not be sufficient.

So statement 2 will be required to solve the DS question. Answer will be C)

Kris88 said he understood the article but just wanted to know what the two solutions would be anyways (I suppose in case a quadratic question appeared in PS to solve for actual value rather than DS)
Math Expert
Joined: 02 Sep 2009
Posts: 60644
Re: GMAT Tip of the Week: No Resolution!  [#permalink]

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10 Jan 2018, 00:02
Bump........................
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Re: GMAT Tip of the Week: No Resolution!   [#permalink] 10 Jan 2018, 00:02
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