Mathematics: Which equation has the solutions x=-3 -+ square root of 3i/2? 2x2 + 6x + 9 = 0 x2 + 3x + 12 = 0 x2 + 3x + 3 = 0 2x2 + 6x + 3 = 0

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Which equation has the solutions x=-3 -+ square

divine134

14.03.2022

x^2+3x+3=0

Step-by-step explanation:

Given : $x=\frac{-3 \pm \sqrt{3}i}{2}$

To Find :Which equation has the solutions $x=\frac{-3 \pm \sqrt{3}i}{2}$

Solution:

$\frac{x-3 - \sqrt{3i}}{2} \times \frac{x-3+ \sqrt{3i}}{2}=0$

$x^2-\frac{3-\sqrt{3}i}{2}x-\frac{3+\sqrt{3}i}{2}x+\frac{9-3i^2}{4}=0$

$x^2-\frac{-6x}{2}+\frac{9-3(-1)}{4}=0$

x^2+3x+3=0

So, equation has the solutions $x=\frac{-3 \pm \sqrt{3}i}{2}$ is x^2+3x+3=0

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