Complex numbers a) i) Express (2-4i)(6+i) in the form x+iy where x, y ER. Show all of your working. (2 marks) ii) Hence

[answerhappygod]

Complex Numbers A I Express 2 4i 6 I In The Form X Iy Where X Y Er Show All Of Your Working 2 Marks Ii Hence 1 (111.8 KiB) Viewed 13 times

Complex numbers a) i) Express (2-4i)(6+i) in the form x+iy where x, y ER. Show all of your working. (2 marks) ii) Hence express 2-4i 6-i in the form x+iy where x, y ER (3 marks) The complex number 3-√3 i is denoted by w i) Find the exact value of w (2 marks) ii) Find the exact value of arg (w), giving your answer in radians (2 marks) c) A complex number is given as -8-6i. z is defined such that z² = -8-6i. The Argand diagram below illustrates the possible values of z. Im(z) Z1 Re(z) 22 Diagram NOT drawn accurately Use an algebraic method to find possible values of z. Give your answers in the form x+iy where x, y ER (6 marks) b)