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Nature of Roots

If α, β are t...

Question

If $α, β$ are the complex roots of $x^{2} + 2 x + 2 = 0$ , then find the value of $| (α - β) |$

A

2

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B

4

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C

2 \sqrt{2}

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D

1

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Solution

The correct option is A $2$
Two roots of the equation are $(- 1 \pm i)$
So, $| (α - β) | = | \pm 2 i | = 2$

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