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Determine 'k' if one of the roots of the equation k(x-1)^2 =

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Senior Manager
Joined: 30 Aug 2003
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Determine 'k' if one of the roots of the equation k(x-1)^2 = [#permalink]

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30 Jan 2004, 14:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Determine 'k' if one of the roots of the equation k(x-1)^2 = 5x-7 is double the other.

a)-2
b)2
c)25
d)both a and b
e)
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Pls include reasoning along with all answer posts.
****GMAT Loco****
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Senior Manager
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30 Jan 2004, 15:31
thta's wat i call indian beauty.. but i didnt try to solve the prb yet.
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shubhangi

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30 Jan 2004, 16:06
f = (x-a)(x-2a) = x^2 -3a x + 2a^2 x = 0

3a = (2k+5)/k
2a^2 = (k+7)/k

2(2k+5)^2/(9k^2) = (k+7)/k

8k^2 + 40k + 50 = 9k^2 + 63k
k^2 + 23k - 50 = 0
(k+25)(k-2) = 0

The other way is plug and play.

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04 Feb 2004, 03:10

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04 Feb 2004, 03:10
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