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Question:
If α and β are the zeroes of a polynomial x² + 5x + 5, find the value of α⁻¹ + β⁻¹.
Solution:
We've been given a polynomial x² + 5x + 5. With the help of the relation between the coefficients and the zeroes, we'll find the value of α⁻¹ + β⁻¹.
ATQ,
p(x) = x² + 5x + 5.
Here, a = 1, b = 5 and c = 5.
Sum of the zeroes:
To Find:
Verified answer
Answer:
alpha+ bitha = (alpha)^-1 + (bitha)^-1.