Which equation has the solutions x is equal to the fraction with numerator negative 3 plus or minus square root of 3 i and denominator 2 ?

The two solutions have sum −3 and product 3: the product is ((−3)² + (√3)²)/4 = 12/4 = 3. A quadratic with roots whose sum is −3 and product is 3 is x² − (−3)x + 3 = x² + 3x + 3. Therefore, the matching equation is choice B.

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