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this question is little blurry
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Given polynomial :- f(x) = x² - C(x + 1) - C
α and β are the zeros of f(x).
We know,
- α + β = -b/a
- αβ = c/a
In the polynomial,
- a = 1
- b = -C
- c = -C
α + β = -(-C)/1 = C
αβ = -C/1 = -C
Now,
(α + 1)(β + 1) = αβ + α + β + 1
⇒(α + 1)(β + 1) = (-C) + (C) + 1
⇒(α + 1)(β + 1) = 1 →→→→ ANSWER
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