Question

please solve step by step to paper

NAME: Q1. (30pts) Solve the quadratic equation z2-(9 2i)z +28 12i 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 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 is set to Radian mode); (iv) find the roots of the quadratic equation. that your calculator sure

Answer 1

2 Given Ca- 2i)2+26-12 0 2&-12 ( A 2uac (-2i)C 20-12) S1 ui36i12 48i .2 4 121- 31 4(-1112-3 12i-35 12-35 3S 030 risino i2 Ysfuo12 - 35 12 3 5 Cot O 12 (ot (a.916) Ate 82 1225 144 2. 3 1369

くC41.08°)+i sin C41-08°). Cos V 3 a Ccos C108') tisin(孔o8) - Ba es (to8) isin Ct08) osos)tis fos) 1(2 C e a-Li -at2i t 12-35 2.