Respuesta :
The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.
What is a quadratic equation?
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
We know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The solutions are given below.
[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]
Then
1) 2x² + 6x + 9 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]
2) x² + 3x + 12 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]
3) x² + 3x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]
4) 2x² + 6x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
