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Is pq > 0? (1) x^2 - px + q = 0 has real and positive roots

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Joined: 23 Feb 2015
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Is pq > 0? (1) x^2 - px + q = 0 has real and positive roots  [#permalink]

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New post 07 Apr 2019, 08:46
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21% (01:35) correct 79% (01:34) wrong based on 14 sessions

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Is pq > 0?


(1) x^2 - px + q = 0 has real and positive roots

(2) p(p - q) > 0

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Re: Is pq > 0? (1) x^2 - px + q = 0 has real and positive roots  [#permalink]

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New post 07 Apr 2019, 10:20
1.
p²-4q>O
p²>4q
but cant say about q's sign.
so, insufficient

2. p²-pq>O
p²>pq
p² will always be positive.
hence sufficient.

IMO B

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Re: Is pq > 0? (1) x^2 - px + q = 0 has real and positive roots   [#permalink] 07 Apr 2019, 10:20
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Is pq > 0? (1) x^2 - px + q = 0 has real and positive roots

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