Question

NAME Q1. (30pts) Solve the quadratic equation z2-(3+3i)z +6+2i = 0 by realizing the following plan: (i) find the discriminant A of the equation; (ii) write a program for a scientific calculator to obtain the polar form r(cos 0 + i sin 0) of A and the 'first' root + isin COS 2 of degree two of A; (iii) execute the program, fix the results, find another root A2 of A of degree two (before executing the program, make sure that your calculat or is set to Radian mode); (iv) find the roots of the quadratic equation.

Answer 1

Paj hiven +3i)2 +6+2-o. Az bbyac C 6+2 8i-i-U ioi-24 ttos+ sne) Polar fom 2- 1o-a24, NO Az Here 1ot Tsine coto 2 15a 3 A B 676. pdar m 26 ((1s.390) +i s (Is.38)

fft root 4 Cas(152.f+is157,38) costi52-3 s5223) e5.i sintist 31 J26 A, 2. tt 26 SAT loeh tdic ehon ba (7+ - 5 2a 1-, 2+i C 6+2 [dne hly 1