Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction?

x² + 3x + 3 = 0

Step-by-step explanation:

The equation has the solutions .

The equation is a quadratic equation having two roots α and β, and they are  

α = and β =

Therefore, sum of the roots (α + β) = - 3 and the product of the roots  

α×β  

=

=

=

= 3

Therefore, the equation is x² - (α + β)x + αβ = 0

⇒ x² + 3x + 3 = 0 (Answer)

i need more information

step-by-step explanation: