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If a/b + b/a = 15 and a2 + b2 = 3, what is ab?
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05 Dec 2021, 16:46
05 Dec 2021, 16:46
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Question Stats:
91% (00:20) correct
8% (02:41) wrong based on 12 sessions
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This question is part of the GRE - Skill Builder Project for a Q170
If \(\frac{a}{b} + \frac{b}{a} = 15\) and \(a^2 + b^2 = 3\), what is ab?
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1/5
Re: If a/b + b/a = 15 and a2 + b2 = 3, what is ab?
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05 Dec 2021, 19:25
05 Dec 2021, 19:25
1
\(\frac{a}{b} + \frac{b}{a} = 15\)
\(a^2 + b^2 = 15ab\)
Now,
\(a^2 + b^2 = 3\)
\(15ab = 3\)
\(ab = \frac{1}{5}\)
Answer 1/5
\(a^2 + b^2 = 15ab\)
Now,
\(a^2 + b^2 = 3\)
\(15ab = 3\)
\(ab = \frac{1}{5}\)
Answer 1/5
gmatclubot
Re: If a/b + b/a = 15 and a2 + b2 = 3, what is ab? [#permalink]
05 Dec 2021, 19:25
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