Q. 174.6( 9 Votes )

If the zeroes of

Answer :

We know, if p, q and r are the roots of a cubic equation then





For the given equation,


……[1]


……[2]


……[3]


As, roots are in AP we can let roots as (A – D), A, (A + D) [Where D is common difference]


From [1], we have




……[4]


From [2], we have





……[5]


From [3], we have





From [4] and [5]





2b3 – 3abc + a2d = 0


Hence Proved!


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