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## 0213 Group Title Could someone walk me through this question and explain to me what happens. I have been working on it for 7 hours. I don't understand my prof and I might fail the class and I want to cry. Its solving a quadratic equation that had complex numbers 7 months ago 7 months ago

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1. 0213 Group Title

$2x^2-ix-2+i=0$

2. DragonFlame Group Title

:/ Sorry... I can't help..

3. 0213 Group Title

:'(

4. DragonFlame Group Title

@jdoe0001

5. jdoe0001 Group Title

tried using the quadratic formula yet?

6. DragonFlame Group Title

Phew! GO JDOE!

7. 0213 Group Title

I tried it, i solved it but i got the wrong answers. I tried it over and over again. I looked up videos, still wrong answer

8. jdoe0001 Group Title

$$\large \begin{array}{llll} {\color{red}{ 2}}x^2&{\color{blue}{ -i}}x&{\color{green}{ -2+i}}=0\\ \uparrow &\ \uparrow &\quad \uparrow \\ {\color{red}{ a}}&\ {\color{blue}{ b}}&\quad {\color{green}{ c}} \end{array}\\ \quad \\ \bf x=\cfrac{i\pm\sqrt{i^2-4(2)(-2+i)}}{2(2)}\implies x=\cfrac{i\pm\sqrt{-1-8(-2+i)}}{2(2)}\\ \quad \\ x=\cfrac{i\pm\sqrt{-1+16-8i}}{2(2)}\implies x=\cfrac{i\pm\sqrt{15-8i}}{4}$$

9. 0213 Group Title

ok..got that

10. jdoe0001 Group Title

well.. that's.... as far as I can see it going... what does your answer say?

11. 0213 Group Title

x=1 and x=-1+0.5i

12. jdoe0001 Group Title

hmmm I don't see it simplifying ... to that

13. 0213 Group Title

:(

14. RaphaelFilgueiras Group Title

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15. RaphaelFilgueiras Group Title
16. 0213 Group Title

how did u do that

17. RaphaelFilgueiras Group Title

that is an algorithm

18. 0213 Group Title

please explain...never learned that

19. RaphaelFilgueiras Group Title

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20. 0213 Group Title

wait...is this like synthetic division

21. RaphaelFilgueiras Group Title

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22. RaphaelFilgueiras Group Title

this is the briot-ruffini algorithmm, i don't what is synthetic division

23. 0213 Group Title

so in my question the root is 2?

24. RaphaelFilgueiras Group Title

no the root is one, the first coef in your polynomial is 2

25. 0213 Group Title

how do i know what the root is?

26. RaphaelFilgueiras Group Title

one, was a easy root to see in that problem

27. 0213 Group Title

oh. so if it had all 4...then it will be 2?

28. 0213 Group Title

could u do it step by step and explain what you were doing at each step

29. RaphaelFilgueiras Group Title

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