Question

$${ x }^{ 2 } -3x+9=0$$

Answer

x=(3*(1+sqrt(3)*IM))/2,(3*(1-sqrt(3)*IM))/2

Solution


Use the Quadratic Formula.
\[x=\frac{3+3\sqrt{3}\imath }{2},\frac{3-3\sqrt{3}\imath }{2}\]
Simplify solutions.
\[x=\frac{3(1+\sqrt{3}\imath )}{2},\frac{3(1-\sqrt{3}\imath )}{2}\]