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Is the sum of the roots of the equation, x^2 + bx + c = 0, positive?

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Is the sum of the roots of the equation, x^2 + bx + c = 0, positive? [#permalink]

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New post 28 Mar 2018, 23:35
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Re: Is the sum of the roots of the equation, x^2 + bx + c = 0, positive? [#permalink]

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New post 28 Mar 2018, 23:49
sum = -b
depending on the value of b , sum will be decide, A is correct.
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Re: Is the sum of the roots of the equation, x^2 + bx + c = 0, positive? [#permalink]

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New post 07 Apr 2018, 06:16
GMAT215 wrote:
Bunuel wrote:
Is the sum of the roots of the equation, x^2 + bx + c = 0, positive?

(1) b < 0
(2) c < 0




need an explanation.. pls :(




I was not knowing that it was that simple, found this on gooogle, hope it helps :)
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Re: Is the sum of the roots of the equation, x^2 + bx + c = 0, positive? [#permalink]

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New post 08 Apr 2018, 01:18
Bunuel wrote:
Is the sum of the roots of the equation, x^2 + bx + c = 0, positive?

(1) b < 0
(2) c < 0


For any quadratic equation ax^2 + bx + c = 0

the sum of the roots = -b/a


Here, comparing x^2 + bx + c = 0 with ax^2 + bx + c = 0

we find, a = 1, b = b and c = c

now Sum of the roots = -b/1 = -b

For sum of the roots to be positive, b must be Negative

Statement 1: b < 0

SUFFICIENT

Statement 2: c < 0

No information about b hence

NOT SUFFICIENT

Answer: option A
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Re: Is the sum of the roots of the equation, x^2 + bx + c = 0, positive?   [#permalink] 08 Apr 2018, 01:18
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