Question

$${ x }^{ 2 } +8x+74=0$$

Answer

x=-4+sqrt(58)*IM,-4-sqrt(58)*IM

Solution


Use the Quadratic Formula.
\[x=\frac{-8+2\sqrt{58}\imath }{2},\frac{-8-2\sqrt{58}\imath }{2}\]
Simplify solutions.
\[x=-4+\sqrt{58}\imath ,-4-\sqrt{58}\imath \]