Q17 of 153 Page 13

For a positive integer n, find the value of

Given:

⇒

We know that i²=-1

⇒

∴ The values of .

Evaluate the following :

x6 + x4 + x2 + 1, when .

Evaluate the following :

2x4 + 5x3 + 7x2 – x + 41, when x = - 2 - √3i

If then show that

Solve the system of equations Re(z²) = 0, |z| = 2.