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quadratic equation

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Source: — Data Sufficiency |
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by papgust » Sun Mar 14, 2010 8:27 am
https://www.beatthegmat.com/mgmat-ds-t15290.html
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by Phirozz » Sun Mar 14, 2010 8:53 am
vscid wrote:If 6xy = x^2y + 9y, what is the value of xy?

(1) x = -2

(2) x < 0
lets solve the equation first

6xy-y.x^2-9y = 0
y(6x-x^2-9) = 0
y = 0 or (x-3)^2 = 0
y = 0 or x = +3

st1) x = -2 ie x not equal to +3 so y definitely equal to 0, hence product xy = 0
st2) x < 0, it means x cannot be 3, so y definitely equals to 0, hence product
xy = 0

Hence it can be answered from both st1 and st2 independently
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by STEVEN SPIELBERG » Mon Mar 15, 2010 11:11 am
IMOD.
I want to win an OSCAR on the GMAT !!!
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