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Hi, I am very stuck on the following 2 problems. Help would be appreciated!
1) Let z and w be complex numbers satisfying |z| = 4 and |w| = 2. Then enter in the numbers |z+w|^2, |zw|^2, |z-w|^2, |z/w|^2 below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark.
2) Let z and w be complex numbers satisfying |z| = 5, |w| = 2, and z*(conjugate of w) = 6+8i. Then enter in the numbers |z+w|^2, |zw|^2, |z-w|^2, |z/w|^2 below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark.
Thanks in advance for the help,
lajumdar
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(1) The answers are 36, 64, 4, 4.
(2) The answers are 49, 100, 9, 25/4.
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