Search for question
Question

21Consider the complex numbers z1 = 1+ i and z2 = 1– i and let w = Write the complex number w in the form a + bi, where a

and b are real numbers. Find the modulus of w. Write w in polar form. [4] 4.b) Find the roots of z² + 2z + 5 = 0. Express the roots in the form a + bi,where a and b are real numbers. [4] 4.c) Let z = cos(T/8) +i sin(7/8). Find z4. Express your answer in the form a + bi, where a and b are real numbers.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5