Question

The number of solutions of the equation z² + $\overline{z}$ = 0 is –

• A. 4
• B. 3
• C. 2
• D. 1

Answer 1

Answer: (A)

4

Answer 2

Sol. x² – y² + 2ixy + x – iy = 0

x² – y² + x = 0, 2xy – y Ž y = 0 or x = 1/2

If y = 0 Ž x = 0, – 1 & if x = 1/2Ž y = ± $\sqrt{3}/2$

Thus equation have 4 solutions.