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# Find 'c' in the equation 3x^2 + 2x - c = 0 if the difference

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

Find 'c' in the equation 3x^2 + 2x - c = 0 if the difference [#permalink]  30 Jan 2004, 19:17
Find 'c' in the equation 3x^2 + 2x - c = 0 if the difference of the squares of the root is 20/9.

a.-8
b.8
c.-2
d.2
e.rather be
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Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Manager
Joined: 26 Dec 2003
Posts: 227
Location: India
Followers: 1

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

E) I am getting -25/9
Manager
Joined: 25 Jan 2004
Posts: 92
Location: China
Followers: 1

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

|k| = abs. value of k

Let m and n be the roots

m+n = -2/3
| m^2 - n^2 | = 20/9

|m-n| =(20/9)(3/2) = 10/3

(m+n)^2 minus (m-n)^2 = 4mn = -4c/3 = -32/3

c = 8
Manager
Joined: 26 Dec 2003
Posts: 227
Location: India
Followers: 1

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

Yeah its 8 . I guess its time for
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