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# Find the least integral value of 'k' for which the equation

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Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
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Kudos [?]: 1 [0], given: 0

Find the least integral value of 'k' for which the equation [#permalink]  30 Jan 2004, 10:52
Find the least integral value of 'k' for which the equation
9x^2 + 6(k+2)x + (-8 + k^2) = 0 has two different real roots.

a.-4
b.0
c.-2
d.1
e.
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Director
Joined: 03 Jul 2003
Posts: 654
Followers: 2

Kudos [?]: 32 [0], given: 0

I choose E

b^2-4AC must not be zero other wise the roots are equal.
For K = -3 the roots are equal. But that is not one of the
answer. So pick a least number and that is -4, choice A

Where did you get these damn questions?
Manager
Joined: 25 Jan 2004
Posts: 92
Location: China
Followers: 1

Kudos [?]: 2 [0], given: 0

b^2 - 4ac > 0

36(k+2)^2 - 36(-8+k^2) > 0
4k+12 > 0
k > -3

Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

Zhung Gazi

_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

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