Let alpha and beta be the roots of equation px^2 + qx + r =0, p not equal to zero. If p, q, r are in A.P. and 1/alpha + 1/beta =4, then find the value of |alpha-beta| ???
This is a JEE mains 2014 question.
Since p q and r are in AP therefore
Also alpha+beta =
Also, Alpha*beta =
Therefore alpha-beta = root[(alpha+ beta)square-4alpha*beta]
Use the above eqns and do it.
Sorry its 2(root 13)/9
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Please give some hint i am stuck inbetween
|x| = 2√13/9