If αand β are the zeros of the polynomial x^2 + 7x + 7 , then find the value of : i)1/α + 1/β− 2αβ ii) α^−1 + β^−1 iii)α/β + β/α
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A
4
15
f(x)=x
2
−x−4
α+β=1
αβ=−4
→
α
1
+
β
1
−αβ
=
αβ
α+β
−αβ
=
−4
1
−(−4)
=
4
−1
+4
=
1
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