Find the complex roots of a quadratic using the discriminant Algebra II

Find the complex roots of the following polynomials.

P\left(x\right)=x^2+6x+10

-3\pm i

-6\pm 2i

-6\pm 3i

\dfrac{-6\pm 3i}{2}

P\left(x\right)=x^2+2x+4

x=-2\pm 3i\sqrt{3}

x = -3 \pm 3i \sqrt {3}

-2\pm 2i\sqrt{3}

-1\pm i\sqrt{3}

P\left(x\right)=x^2+x+5

-1\pm i\sqrt{13}

\dfrac{-1}{4}\pm \dfrac{i\sqrt{7}}{4}

\dfrac{-1}{2}\pm \dfrac{i\sqrt{19}}{2}

\dfrac{-1}{3}\pm \dfrac{i\sqrt{11}}{3}

P\left(x\right)=2x^2+5x+13

\dfrac{-5}{4} \pm \dfrac{3i}{4}

\dfrac{-5}{4} \pm \dfrac{i\sqrt{79}}{4}

\dfrac{-5}{4} \pm \dfrac{5i}{4}

\dfrac{-7}{4} \pm \dfrac{11i}{4}

P\left(x\right)=x^2-3x+5

\dfrac{7}{2}\pm \dfrac{i\sqrt{15}}{2}

\dfrac{5}{2}\pm \dfrac{i\sqrt{13}}{2}

\dfrac{3}{2}\pm \dfrac{i\sqrt{11}}{2}

\dfrac{1}{2}\pm \dfrac{i\sqrt{9}}{2}

P\left(x\right)=3x^2-2x+5

\dfrac{1}{4}\pm \dfrac{i\sqrt{5}}{4}

\dfrac{1}{2}\pm \dfrac{i\sqrt{5}}{2}

\dfrac{1}{2}\pm \dfrac{i\sqrt{7}}{2}

\dfrac{1}{3}\pm \dfrac{i\sqrt{14}}{3}

P\left(x\right)=4x^2-4x+16

\dfrac{1}{2}\pm\dfrac{ i\sqrt{15}}{2}

\dfrac{1}{2}\pm\dfrac{ i\sqrt{13}}{2}

\dfrac{1}{2}\pm\dfrac{ i\sqrt{11}}{2}

\dfrac{1}{2}\pm\dfrac{ i\sqrt{19}}{2}