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If r = 3p+q/2 and s = p q, for which of the following

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Director
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If r = 3p+q/2 and s = p q, for which of the following [#permalink] New post 07 Feb 2007, 13:33
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If r = 3p+q/2 and s = p – q, for which of the following values of p would r^2 = s^2 ?
(A) 1/5q
(B) 10-3/5q
(C) q-1
(D) 3q
(E) 9/2q-9
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 [#permalink] New post 07 Feb 2007, 14:35
r^2 = s^2
<=> |r| = |s|
<=> |3p+q/2| = |p – q|
implies that:
3p+q/2 = p – q <=> 2p = -3/2*q <=> p = -3/4*q
or
3p+q/2 = -(p – q) <=> 4p = q/2 <=> p = q/8

So.... none? :)
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 [#permalink] New post 07 Feb 2007, 15:02
Fig wrote:
r^2 = s^2
<=> |r| = |s|
<=> |3p+q/2| = |p – q|
implies that:
3p+q/2 = p – q <=> 2p = -3/2*q <=> p = -3/4*qor
3p+q/2 = -(p – q) <=> 4p = q/2 <=> p = q/8

So.... none? :)


I also get the same values for p so the answer is none :)
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Senior Manager
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Re: PS II 020707 [#permalink] New post 08 Feb 2007, 09:19
ggarr wrote:
If r = 3p+q/2 and s = p – q, for which of the following values of p would r^2 = s^2 ?
(A) 1/5q
(B) 10-3/5q
(C) q-1
(D) 3q
(E) 9/2q-9


If the question was actually r = (3p + q)/2 and the rest is the same.

Case 1: (3p + q)/2 = p - q ==> p = -3q
Case 2: (3p + q)/2 = q - p ==> p = q/5

Still no answer. :P
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Re: PS II 020707 [#permalink] New post 08 Feb 2007, 11:02
devilmirror wrote:
ggarr wrote:
If r = 3p+q/2 and s = p – q, for which of the following values of p would r^2 = s^2 ?
(A) 1/5q
(B) 10-3/5q
(C) q-1
(D) 3q
(E) 9/2q-9


If the question was actually r = (3p + q)/2 and the rest is the same.

Case 1: (3p + q)/2 = p - q ==> p = -3q
Case 2: (3p + q)/2 = q - p ==> p = q/5

Still no answer. :P


Or A ;) ... If we consider 1/5q = q/5 :)
Re: PS II 020707   [#permalink] 08 Feb 2007, 11:02
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If r = 3p+q/2 and s = p q, for which of the following

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