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Sum of n Terms

If α and ...

Question

If $α$ and $β$ are zeros of the polynomial $2 x^{2} - 4 x + 5$ , find the values of $α^{2} + β^{2}$

A

- 6

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B

14

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C

6

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D

- 1

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Solution

The correct option is D $- 1$
$α^{2} + β^{2} = (α + β)^{2} - 2 (α β) = [(\frac{- (- 4)}{2})] - 2 \cdot (\frac{5}{2}) = 4 - 5 = - 1$

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