Question

x^2+3x+8=0 find all solutions and write in a+bi form

Answer 1

quadratic formula:\[\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

Answer 2

\[\frac{-3 \pm i \sqrt{23}}{2}\]
so:
\[(x+\frac{3+ i \sqrt{23}}{2})(x+\frac{3-i \sqrt{23}}{2})\]