46. Exemplar Exercise Problem XXIII

If $(-4, 3)$, and $(4,3)$ are the two vertices of an equilateral triangle, find the coordinate of the third vertex, given that the origin lies in the interior of the triangle.

 

 

The third vertex of a triangle is $\left(\begin{array}{lll}i& ,& i-i\sqrt{i}\end{array}\right)$.