Destinyyyy one year ago Help with a few problems..

1. Destinyyyy

Solve by any method. (4x+3)(x+2)=3

2. dinamix

4x^2+8x+3x+6 = 3 4x^2+11x+3=0 $\Delta = 121-48 =73$

3. Destinyyyy

4. Destinyyyy

Final answer---> -11+- Square root 73 all over 8

5. Destinyyyy

Solve by any method. 1/x + 1/x+2 = 1/5

6. Destinyyyy

@Nnesha

7. dinamix

u complete it cuz i find u delta

8. Destinyyyy

What?

9. dinamix

$x(1) = \frac{ -b-\sqrt{\Delta} }{ 2a } , x(2) = \frac{ -b+\sqrt{\Delta} }{ 2a }$

10. dinamix

u have find solution

11. Destinyyyy

Um? Which problem are you talking about?

12. dinamix

(4x+3)(x+2) = 3 @Destinyyyy

13. dinamix

this i mean

14. Destinyyyy

Oh. I completed that question.

15. Destinyyyy

I now need help on this one- Solve by any method. 1/x + 1/x+2 = 1/5

16. dinamix

$\frac{ x+2+x }{ (x+2)(x) }=1/5$

17. dinamix

u understand that @Destinyyyy how i do it right ?

18. Destinyyyy

Thats no right... 1/x + 1/x+2 = 1/5

19. Destinyyyy

not *

20. dinamix

hmm |dw:1440723213093:dw|

21. Destinyyyy

Umm I cant see the end part..

22. Destinyyyy

Um are you trying to say times everything by x+2 ?? Its hard to read

23. dinamix

$(\frac{ 1 }{ x } *\frac{ x+2 }{ x+2 }) +(\frac{ 1 }{ x+2}*\frac{ x }{ x })$

24. dinamix

$\frac{ x+2 }{ x(x+2) }+\frac{ x }{ x(x+2) } = 1/5$

25. dinamix

$\frac{ x+2+x }{ x(x+2) } =1/5$

26. Destinyyyy

Sorry but im not understanding.. I thought im suppose to get rid of the fractions?

27. dinamix

$\frac{ 2x+2 }{ x^2+2x } =1/5$

28. Destinyyyy

I dont get how your going from the original problem to the first image

29. Destinyyyy

Where are you getting x+2/x+2 from? And where did the parentheses come from?

30. dinamix

u will get fuction now cuz we dont have way we must do that to solve problem

31. Destinyyyy

Huh?

32. Destinyyyy

@jim_thompson5910

33. dinamix

tell to him if my mrthod is correct or no , cuz i am sure about my answer is true

34. Destinyyyy

Again huh? Can you please type in proper English so I can understand?

35. Destinyyyy

@.Gjallarhorn. @IrishBoy123

36. dinamix

we sould have same denominator of this 1/x+(1/x+2)

37. dinamix

should*

38. Destinyyyy

Where are you getting parenthesis from??

39. Destinyyyy

Can you show me step by step?

40. dinamix

just parenthesis for u to understand .

41. Destinyyyy

Oh.. Well they seem to be confusing me instead

42. dinamix

i give u example to understand okey

43. Destinyyyy

Um okay

44. dinamix

|dw:1440724788988:dw| how collecting this numbers

45. dinamix

@Destinyyyy

46. Destinyyyy

Okay?

47. dinamix

did u see my question or no

48. dinamix

|dw:1440725128863:dw|

49. Destinyyyy

Yes I see it but I dont know what you want me to do or say

50. jim_thompson5910

The original problem is this, right? $\Large \frac{1}{x} + \frac{1}{x+2}= \frac{1}{5}$

51. Destinyyyy

Yes @jim_thompson5910

52. jim_thompson5910

since we have an equation, we can multiply every fraction by the LCD 5x(x+2) to clear out the fractions $\large \frac{1}{x} + \frac{1}{x+2}= \frac{1}{5}$ $\large {\color{red}{5x(x+2)}}*\frac{1}{x} + {\color{red}{5x(x+2)}}*\frac{1}{x+2}= {\color{red}{5x(x+2)}}*\frac{1}{5}$ $\large {\color{red}{5\cancel{x}(x+2)}}*\frac{1}{\cancel{x}} + {\color{red}{5x*\cancel{(x+2)}}}*\frac{1}{\cancel{x+2}}= {\color{red}{\cancel{5}*x(x+2)}}*\frac{1}{\cancel{5}}$ $\large 5(x+2)*1 + 5x*1 = x(x+2)*1$ $\large 5(x+2) + 5x = x(x+2)$ Hopefully you see how I was able to clear out the fractions?

53. Destinyyyy

Yes I thought thats what I was suppose to do but wasnt entirely sure. Thank you

54. jim_thompson5910

are you able to solve 5(x+2)+5x=x(x+2) from here?

55. Destinyyyy

Yes!

56. jim_thompson5910

ok great

57. dinamix

@jim_thompson5910 lol i think my method is easy look first

58. Destinyyyy

5x+10+5x= x^2+2x 10x+10=x^2+2x 8x+10=x^2 x^2-8x-10=0

59. jim_thompson5910

now use the quadratic formula to solve x^2-8x-10=0

60. Destinyyyy

8+- square root 104 over 2

61. Destinyyyy

8+- 2 square root 26 over 2

62. jim_thompson5910

There's one more step. You're doing great so far

63. Destinyyyy

Umm.. 8+2 square root 26/2 --> 10 square root 26 over 2 8-2 square root 26/2 --> 6 square root 26 over 2 That doesnt seem right though

64. jim_thompson5910

|dw:1440726115004:dw|

65. jim_thompson5910

divide each part (circled) by 2 |dw:1440726151837:dw|

66. Destinyyyy

Thats what im missing okay..

67. Destinyyyy

4+- square root 26

68. jim_thompson5910

correct

69. Destinyyyy

Thank you.. I have two more. Do you mind helping? Both are word problems

70. jim_thompson5910

sure, but post them one at a time (one per post) to avoid clutter or lag

71. Destinyyyy