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Question

If α and β are the roots of the equation x2+5x+5=0, find the value of α1+β1.

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Solution

Let, α and β are the roots of the equation x2+5x+5=0, then the relation between the roots and co-efficients we get,
α+β=5 and α.β=5.......(1).
Now,
α1+β1
=1α+1β
=α+βα.β
=1 [ Using (1)]

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