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

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

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New post 19 Aug 2015, 01:15
1
7
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:16) correct 47% (01:49) wrong based on 196 sessions

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

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New post 06 Oct 2017, 10:51
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.
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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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New post 10 Dec 2018, 15:38
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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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