For z=4+3i, find z·conjugate(z).
Note
For a complex number z = a + bi, multiplying by its conjugate gives z·conjugate(z) = a² + b². This is the square of the modulus, so it is always non-negative. Here a = 4 and b = 3. Therefore z·conjugate(z) = (4)² + (3)² = 16 + 9 = 25. So the correct answer is 25.
