## kristinak one year ago A quadratic equation is shown below: x2 - 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x - p)2 = q, where p and q are integers? Subtract 5 from both sides of the equation Subtract 3 from both sides of the equation Add 5 to both sides of the equation Add 3 to both sides of the equation

1. myininaya

do you know how to complete the square? let's practice do you think x^2-2x+1 can be written as a square?

2. kristinak

yes

3. kristinak

@myininaya

4. kristinak

i was thnking it was D?

5. myininaya

can you write is as a square for me?

6. kristinak

(X-1)^2

7. myininaya

okay so if you do that then we have x^2-8x+13+3=0+3 x^2-8x+16=3

8. myininaya

so are you think x^2-8x+16 can be written as square?

9. myininaya

and you are right about my example

10. kristinak

Yes

11. myininaya

x^2-8x+16 can be written as (x- ? )^2

12. myininaya

what is ?

13. kristinak

(x-4)^2

14. myininaya

yeah

15. myininaya

you did this all by yourself @kristinak

16. kristinak

yeah but i still dont know the answer

17. myininaya

you are saying we have (x-4)^2=3

18. myininaya

4 and 3 are totally integers

19. kristinak

so its b?

20. myininaya

:(

21. myininaya

Can you tell me where you are confused on your first choice?

22. kristinak

i thought you said i was wrong when i said it was D?

23. myininaya

never said that

24. myininaya

i simply was working through what D would have given us

25. myininaya

do you not think 4 and 3 are integers?

26. kristinak

No they are

27. kristinak

thank you so much, sorry i was confused

28. myininaya

its okay

29. kristinak

can you help me with another?

30. myininaya

alright

31. kristinak

one moment

32. kristinak

33. kristinak

@myininaya

34. kristinak

its the screenshot

35. myininaya

can you find the vertex for the first one?

36. kristinak

one moment

37. kristinak

(70,55)

38. kristinak

am i right?

39. myininaya

beautiful!

40. myininaya

now the vertex is very important for consider the min or even the max for a parabola that is why i asked for the other graph i think a good way to approximate the vertex is just plot those points given

41. myininaya

i want you to speculate on what you think the vertex is

42. myininaya

now it helped me to actually plot the points so i encourage you to do so

43. myininaya

tell me what you think looks like the middle point of that graph

44. kristinak

(1,899.50)

45. myininaya

that is very great

46. myininaya

now the y values for each of these points is the amount of min production cost from each graph

47. myininaya

aka lowest y value for each graph

48. myininaya

the question ask you to compare the y values basically it ask which one is greater

49. kristinak

company 2?

50. myininaya

right because 899.5>55 so company 2 has a bigger min production cost

51. kristinak

thank you!! can you help me with like 2 or 3 more?

52. myininaya

honestly i cannot i have to leave i suggest posting a new question

53. kristinak

oh okay thank you

54. myininaya

np have a great night