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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, 22:35
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (00:51) correct 37% (01:18) wrong based on 119 sessions

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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, 22:49
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, 05:16
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, 00:18
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]

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New post 27 Nov 2018, 08:52
1
Bunuel wrote:
Is the sum of the roots of the equation, x^2 + bx + c = 0, positive?

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







ALWAYS REMEMBER

For any given quadratic equation ax^2 +bx+c


1. SUM OF ROOTS OF QUADRATIC EQUATION IS -b/a

2.PRODUCT OF ROOTS OF QUADRATIC EQUATION IS c/a
GMAT Club Bot
Re: Is the sum of the roots of the equation, x^2 + bx + c = 0, positive? &nbs [#permalink] 27 Nov 2018, 08:52
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Is the sum of the roots of the equation, x^2 + bx + c = 0, positive?

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