Respuesta :

Answer:

None of the answers given.

Step-by-step explanation:

[tex]x^2 + 5x + 7 = 0[/tex]

[tex]$x=\frac{-5\pm \sqrt{5^2-4\cdot \:1\cdot \:7}}{2\cdot \:1}$[/tex]

[tex]$x=\frac{-5\pm \sqrt{25-28}}{2}$[/tex]

[tex]$x=\frac{-5\pm i\sqrt{3}}{2}$[/tex]

[tex]$x_{1}=-\frac{5}{2}+\frac{\sqrt{3}}{2}i$[/tex]

[tex]$x_{2}=-\frac{5}{2}-\frac{\sqrt{3}}{2}i$[/tex]