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Math Expert V
Joined: 02 Sep 2009
Posts: 58963
For what value of 'k' will the sum of the roots of the quadratic equat  [#permalink]

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1
7 00:00

Difficulty:   55% (hard)

Question Stats: 52% (01:16) correct 48% (01:48) wrong based on 197 sessions

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For what value of 'k' will the sum of the roots of the quadratic equation x^2 + kx - 6 = 0 be equal to the product of the roots of the quadratic equation?

A. -6
B. 4
C. 6
D. 12
E. Such a value of 'k' does not exist

Kudos for a correct solution.

_________________
CEO  S
Joined: 20 Mar 2014
Posts: 2573
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44 GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: For what value of 'k' will the sum of the roots of the quadratic equat  [#permalink]

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5
2
Bunuel wrote:
For what value of 'k' will the sum of the roots of the quadratic equation x^2 + kx - 6 = 0 be equal to the product of the roots of the quadratic equation?

A. -6
B. 4
C. 6
D. 12
E. Such a value of 'k' does not exist

Kudos for a correct solution.

Sum of the roots of a quadratic equation $$ax^2+bx+c=0$$ = -b/a
Product of the roots of a quadratic equation $$ax^2+bx+c=0$$ = c/a

Thus, per the question, -k/1=-6/1 ---> k = 6. Hence C is the correct answer.
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Manager  S
Joined: 21 Jul 2017
Posts: 187
Location: India
GMAT 1: 660 Q47 V34 GPA: 4
WE: Project Management (Education)
Re: For what value of 'k' will the sum of the roots of the quadratic equat  [#permalink]

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Sum of the roots of a quadratic equation = -b/a
Product of the roots of a quadratic equation = c/a

As per the question, -k/1=-6/1=> k = 6. Hence, C is the correct answer.
Non-Human User Joined: 09 Sep 2013
Posts: 13562
Re: For what value of 'k' will the sum of the roots of the quadratic equat  [#permalink]

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Hello from the GMAT Club BumpBot!

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_________________ Re: For what value of 'k' will the sum of the roots of the quadratic equat   [#permalink] 10 Dec 2018, 15:38
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