Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: sequences and series
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Sahil Gupta (664)

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Let the roots be  p,q

then acc. to the question, p + q = 1/p2 + 1/q2

or,  p+q = p2 + q2 / p2q2

or,  p+q = (p+q)2 - 2pq / p2q2

or,  -b/a = (b2/a2 - 2c/a) / c2/a2

or,  - b/a = b2 - 2ac / c2

solving this you get a/c, b/a, c/b in H.P.


 

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