The circles x^2+y^2 = 1 and (x-1)^2 + (y+3)^2 = 9
intersect at (1,0) and (-4/5, -3/5)
Only two of the roots of z^5 = i lie in QIII and QIV
These are (-0.5,-0.8) and (0.5,-0.8)
It is clear that they lie inside the larger circle. (why?)
Plot the roots of the equation z^5 = i in an Argand diagram.
How many of them lie inside the disc D(1 − 3i, 3)?
1 answer