Solve the equation : $\;x^{2}+3x+5=0\;$

Question

$(a)\;\large\frac{-3\pm \sqrt{11} i}{2}\qquad(b)\;\large\frac{-3\pm \sqrt{7} i}{2}\qquad(c)\;\large\frac{-3\pm \sqrt{5} i}{2}\qquad(d)\;\large\frac{\pm \sqrt{11} i}{2}$