Find the conjugate of the complex number z = 5 - 6i.
Correct Answer: z̅ = 5 + 6i
- Step 1: Identify the complex number z. In this case, z = 5 - 6i.
- Step 2: Understand that the conjugate of a complex number is found by changing the sign of the imaginary part.
- Step 3: The imaginary part of z is -6i. To find the conjugate, change -6i to +6i.
- Step 4: Write the conjugate of z. The conjugate is z̅ = 5 + 6i.
- Complex Conjugate – The complex conjugate of a complex number is obtained by changing the sign of the imaginary part.