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Question

if the given polynomial x22x5. Find value of αβ+βα

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Solution

Given: α and β are roots of the equation: x22x5

So, α+β=2

& αβ=5

Now, αβ+βα=α2+β2αβ

=(α+β)22αβαβ

=(2)2+255

=(45+2)

So, αβ+βα=(45+2)



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