Posted by **Anonymous** on Sunday, June 23, 2013 at 9:51am.

The picture below shows a figure in the complex plane, consisting of two circles of radius 1, with centers (3,0) and (−3,0) and a lower half of the circle of radius 2 with the center (0,−23√).

Find the number of positive integers n≤1000, such that for some complex number a the equation zn−a=0 has a root on each of the three parts of the figure.

Details and assumptions

The three parts of the figure the question refers to are the two circles and the semi-circle.

## Answer this Question

## Related Questions

- PLEASE HELP TANGENTS AND CIRCLES PROBLEM GEOMETRY - PLEASE HELP I REALLY NEED ...
- math - Thr figure below is made up of four congruent circles Each circle is ...
- math gre question - in an infinite series of circles the radius of the second ...
- GEOMETRY(CIRCLE) - Three circles with different radii have their centers on a ...
- pre calc - EAch of 3 circles touch the other 2. Circle A=radius 8cm Circle B=...
- Pre-Calc (Circles). Please help :( - Five concentric circles with radii 1, 2, 3...
- Geometry - A circle of radius 1 is drawn in the plane. Four non-overlapping ...
- pre calc - each of three circles touches the other 2.circle A has a radius of 8 ...
- GEOMETRY QUESTION - Four circles of unit radius are drawn with centers (0,1), (-...
- Math - A circle of radius 1 is drawn in the plane. Four non-overlapping circles ...