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Sum of the squares of reciprocals

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Reference no: EM131407162

Question1: If the sum of the roots of the equation ax2+ bx + c =0 is equal to the sum of the squares of their reciprocals, show that bc² , ca², ab² are in A.P.

Question 2: If one root of the quadratic equation ax2 + bx +c=0 is equal to nth power of the other , show that (acn)1/n+1 + (anc)1/n+1 + b=0

Reference no: EM131407162

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