Mathematics 10 — Exercise Worked examples · Example 14

Full question

For the given z, verify the displayed identity.

Step-by-step solution

1. First write z and its conjugate. Only the imaginary sign changes.

   $$(3\times i+7,7-3\times i)$$

2. Conjugate a second time. Reversing the imaginary sign again restores the original.

   $$3\times i+7=3\times i+7$$

Answer

The final answer is shown below.