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# For what value of 'k' will the sum of the roots of the quadratic equat

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Math Expert
Joined: 02 Sep 2009
Posts: 43829
For what value of 'k' will the sum of the roots of the quadratic equat [#permalink]

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19 Aug 2015, 00:15
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Difficulty:

55% (hard)

Question Stats:

53% (01:24) correct 47% (01:21) wrong based on 148 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.
[Reveal] Spoiler: OA

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Re: For what value of 'k' will the sum of the roots of the quadratic equat [#permalink]

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19 Aug 2015, 03:04
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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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Re: For what value of 'k' will the sum of the roots of the quadratic equat [#permalink]

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06 Oct 2017, 09:51
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.
Re: For what value of 'k' will the sum of the roots of the quadratic equat   [#permalink] 06 Oct 2017, 09:51
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# For what value of 'k' will the sum of the roots of the quadratic equat

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