Chapter 5 – Complex Numbers and Quadratic Equations

Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. 2. z = – sqrt 3 + i Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. 2. z = – sqrt 3 + i October 24, 2021 Category: Chapter [...]

Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. 1. z = – 1 – i sqrt 3 Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. 1. z = – 1 – i sqrt 3 October 24, 2021 [...]

14. Express the following expression in the form of a + ib : (3 + i sqrt 5)(3 – i sqrt 5) / (sqrt 3 + sqrt 2i) – (sqrt 3 – sqrt 2i) 14. Express the following expression in the form of a + ib : (3 + i sqrt 5)(3 - i sqrt [...]

Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13. 13. – i Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13. 13. – i October 24, 2021 Category: Chapter 5 - Complex Numbers and Quadratic Equations , Maths , [...]

Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13. 12. sqrt 5 + 3i Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13. 12. sqrt 5 + 3i October 24, 2021 Category: Chapter 5 - Complex Numbers and Quadratic [...]

Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13. 11. 4 – 3i Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13. 11. 4 – 3i October 24, 2021 Category: Chapter 5 - Complex Numbers and Quadratic Equations , [...]

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. 10. (-2 – 1/3i)^3 Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. 10. (-2 - 1/3i)^3 October 24, 2021 Category: Chapter 5 - Complex Numbers [...]

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. 9. (1/3 + 3i)^3 Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. 9. (1/3 + 3i)^3 October 24, 2021 Category: Chapter 5 - Complex Numbers [...]

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. 8. (1 – i)^4 Express each of the complex number given in the Exercises 1 to 10 in the form a + ib. 8. (1 - i)^4 October 24, 2021 Category: Chapter 5 - Complex Numbers [...]

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib 7. [(1/3 + i7/3) + ( 4 + i1/3)] – (-4/3 + i) Express each of the complex number given in the Exercises 1 to 10 in the form a + ib 7. [(1/3 + i7/3) [...]