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Homework Statement:
 Find and draw the set of all points that satisfy the following condition: z^2 + z  2*i^2 =< 10, where z is a complex number.
Relevant Equations:

z = sqrt(a^2 + b^2)
z = a + b*i
Hello everyone,
I've been struggling quite a bit with this problem, since I'm not sure how to approach it correctly. The inequality form reminds me of the equation of a circle (x^2 + y^2 = r^2), but I have no idea how to be sure about it. Would it help just to simplify the inequality in terms of solving the absolute value of z and z2i ?
I would be very thankful for any advices and solutions.
Best wishes,
Makadamij
I've been struggling quite a bit with this problem, since I'm not sure how to approach it correctly. The inequality form reminds me of the equation of a circle (x^2 + y^2 = r^2), but I have no idea how to be sure about it. Would it help just to simplify the inequality in terms of solving the absolute value of z and z2i ?
I would be very thankful for any advices and solutions.
Best wishes,
Makadamij