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Joined: 07 May 2003
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If r = and s = p тАУ q, for which of the [#permalink]
 13 May 2003, 17:14
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If r = and s = p тАУ 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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Manager
Joined: 12 Mar 2003
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r^2 = s^2
=> 1/4(3p+q)^2 = (p-q)^2
solve for P : p= 1/5q or -3q
A = 1/5q
Last edited by tzolkin on 15 May 2003, 06:03, edited 2 times in total.
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Manager
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I think none.......
r^2 = s^2 implies that it wants us to prove whether r = s or r = -s
substitute for r = s
(3p+q)/2 = p-q
3p+q = 2p-2q
p=-3q
substitute r = -s
(3p+q)/2 = -(p-q)
3p+q = -2p +2q
5p = q
p = q/5
so none of the answer choices match.......choices seem to be wrong
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Manager
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I think that ans A is in fact : 1/5 * q NOT 1/(5q)
This is how I interpreted it ?
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Manager
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=> 1/4(3p+q)^2 = (p-q)^2
9P^2+6pq+q^2=4p^2-8pq-4q^2
5p^2+14pq-3q^2=0
(5p-q)(p+3q)=0
p = 1/5 * q and -3q
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