Question
Mathematics Question on limits and derivatives
Let P=z∈C:∣z+2−3i∣≤1 and Q=z∈C:z(1+i)+z(1−i)≤−8.
Let z in P∩Q have ∣z−3+2i∣ be maximum and minimum at z1 and z2, respectively.
If ∣z1∣2+2∣z2∣2=α+β2, where α and β are integers, then α+β equals ____.
Answer
The correct answer is