is rx<0 (OG13)

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Source: — Data Sufficiency |

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by eagleeye » Fri Aug 03, 2012 3:17 am
alex.gellatly wrote:If r and s are the roots of the equation x2+ bx + c = 0,where b and c are constants, is rs < 0 ?
(1) b<0
(2) c < 0

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If r and s are roots (x-r)(x-s) = 0
=> x^2 -(r+s)x +rs = 0
=> x^2 -Sx + P = 0 (remember this for future)
Comparing with x^2+bx+c = 0, we see that
b = -(r+s)
c= rs

Hence the question rephrases as : is c<0?

Clearly, then, B is sufficient and correct :)

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by GMATGuruNY » Fri Aug 03, 2012 3:22 am
alex.gellatly wrote:If r and s are the roots of the equation x2+ bx + c = 0,where b and c are constants, is rs < 0 ?
(1) b<0
(2) c < 0

Thanks
For any question in the form ax²+bx+c=0:
The sum of the roots = -b/a.
The product of the roots = c/a.

In the equation above, a=1.
Thus, the product of the roots = c/1 = c.

Question rephrased: Is c<0?

Statement 1: b<0.

No way to determine whether c<0.
INSUFFICIENT.

Statement 2: c<0.
SUFFICIENT.

The correct answer is B.
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