pls solve no ii ..
pls pls pls
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Answer:
2/3
Step-by-step explanation:
Given polynomial is f(x) = x² - 2x + 3.
Here a = 1, b = -2, c = 3.
α,β are the roots of the polynomial.
Sum of roots:
α + β = -b/a
⇒ α + β = -(-2)/1
⇒ α + β = 2
Product of roots:
αβ = c/a
⇒ αβ = 3/1
⇒ αβ = 3
Now,
(ii)
Given: (α - 1/α + 1) + (β - 1/β + 1)
= [(α - 1)(β + 1) + (β - 1)(α + 1)]/(α + 1)(β + 1)
= [(αβ + α - β - 1 + αβ + β - α - 1)]/[(αβ + α + β + 1)]
= [(2αβ - 2)]/[3 + 2 + 1]
= 4/6
= 2/3
Hope it helps!
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