Solve $\; \sqrt{5} x^{2} + x + \sqrt{5}=0$

Question

$(a)\;\large\frac{-1\pm\sqrt{19}i}{2\sqrt{5}}\qquad(b)\;\large\frac{1+ \sqrt{3}i}{2}\qquad(c)\;\large\frac{-1\pm 19i}{2\sqrt{5}}\qquad(d)\;\large\frac{-1\pm \sqrt{3}i}{2}$