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$α$ and $β$ are the roots of $2 x^{2} + 3 x + 2 = 0$ then

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| α | = {| β |}^{2}

| α | = | β |

{| α |}^{2} = | β |

| α | = - | β |

answer is B.

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Detailed Solution

2 x^{2} + 3 x + 2 = 0

$Δ = 9 - 4 \times 2 \times 2 = - 7 < 0$

$α, β$ are conjugate complex numbers

$α = \frac{- 3 + \sqrt{7} i}{2}, β = \frac{- 3 - \sqrt{7} i}{2}$

$| α | = | β |$

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