Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jazzyfa30

Solve the equation by using the Square Root Property. x^2 = 10x + 24

  • 9 months ago
  • 9 months ago

  • This Question is Closed
  1. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    @hartnn

    • 9 months ago
  2. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    ok, so \(x^2-10x=24\) the co-efficient of 'x' here is 10 divide it by 2 and square the result, what u get ?

    • 9 months ago
  3. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    ***the co-efficient of 'x' here is -10

    • 9 months ago
  4. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    so it would be x^2-5x=24

    • 9 months ago
  5. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    no no.. the co-efficient of x is -10, right ? divide it by 2, you get -5, but then square it, \(\large (-5)^2=...?\)

    • 9 months ago
  6. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    2.23

    • 9 months ago
  7. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    is that right????

    • 9 months ago
  8. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    umm...noo...how u got thta ?

    • 9 months ago
  9. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    i squared 5 isnt that what i was supposed to do

    • 9 months ago
  10. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    5^2 =25

    • 9 months ago
  11. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    oh i thought i was supposed to square root it not square my b now what

    • 9 months ago
  12. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    ohh...u took square root...we are supposed to square..

    • 9 months ago
  13. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    ok, we add 25 on both sides \(x^2-10x+25=24+25\) notice that left side is a perfect square! of ?

    • 9 months ago
  14. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    49

    • 9 months ago
  15. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    49 is right side, and is the square of 7 what about left side ? x^2-10x+25 is squaree of ?

    • 9 months ago
  16. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    idk

    • 9 months ago
  17. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    \((x-5)^2 =... ?\) can u find ?

    • 9 months ago
  18. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    x^2- 25

    • 9 months ago
  19. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    nopes, \((a+b)^2=a^2+2ab+b^2\) so, \((x-5)^2 =x^2-10x+25\) so here we have \((x-5)^2=7^2\) take square root on both sides!

    • 9 months ago
  20. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

    • 9 months ago
  21. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    then what

    • 9 months ago
  22. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    im confused

    • 9 months ago
  23. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    did u take square root on both sides ? what u got ?

    • 9 months ago
  24. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    idk

    • 9 months ago
  25. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    \((x-5)^2=7^2 \implies x-5 = \pm 7 \\ x-5 =7 \quad \quad x-5=-7\) get 2 values of 'x' from here!

    • 9 months ago
  26. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    but 7 isnt apart of any of my answer choices

    • 9 months ago
  27. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    u need to solve x-5 =7 x-5 = -7

    • 9 months ago
  28. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    x= 12 x=-2

    • 9 months ago
  29. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    correct!

    • 9 months ago
  30. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    ok Solve the equation by completing the square: x2 - 8x + 15 = 0

    • 9 months ago
  31. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    same thing, here, the co-efficient of x is -8 divide it by 2, what u get ?

    • 9 months ago
  32. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    -4

    • 9 months ago
  33. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    yes, then square it...what u get ?

    • 9 months ago
  34. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    -16

    • 9 months ago
  35. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    -4 *-4 will be +16

    • 9 months ago
  36. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    oh

    • 9 months ago
  37. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    so, adding 16 on both sides... \(x^2-8x+16=-15+16\)

    • 9 months ago
  38. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    right side:1 left side: idk

    • 9 months ago
  39. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    i think its x^2-4x-2x=1

    • 9 months ago
  40. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    is that right??????

    • 9 months ago
  41. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    @GoldPhenoix please help

    • 9 months ago
  42. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    \(x^2-8x+16 = (x-4)^2\) so, we have \((x-4)^2=1\) just take square root on both sides!

    • 9 months ago
  43. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    ?????????

    • 9 months ago
  44. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    when you take square root, the square part goes away! (x+4) =+1 or x-4 =-1 find 2 values of x from here...

    • 9 months ago
  45. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    (x-3)(x+3) i think

    • 9 months ago
  46. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    a. x = + 5 b. x =-3 or x = 5 c. x =3 or x = -5 d. x =3 or x =5

    • 9 months ago
  47. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    x-4 = -1 , x = -1+4 = 3 is correct but for 2nd part, you get x-4 =1 x= 1+4 = 5

    • 9 months ago
  48. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    so, 3,5

    • 9 months ago
  49. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    oh yea

    • 9 months ago
  50. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    Solve the equation by completing the square: x^2 + 2x = 120

    • 9 months ago
  51. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you know how to complete the square? :)

    • 9 months ago
  52. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    ??????

    • 9 months ago
  53. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    I see. Here's an example:\[\Large x^2 + \color{red}6x =40 \]

    • 9 months ago
  54. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    What you do is take that coefficient (number beside) the x with NO EXPONENT. In our case, 6.

    • 9 months ago
  55. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    Take half of it, 3, and then square it, getting 9.

    • 9 months ago
  56. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    Now, add that to BOTH SIDES of the equation. \[\Large x^2 +\color{red}6x\color{blue}{+9}=40\color{blue}{+9}\]

    • 9 months ago
  57. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    Simplify. \[\Large x^2+\color{red}6x+9=49\]

    • 9 months ago
  58. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    You'll notice that the left side is now what you call a 'perfect square trinomial' It may be expressed as... \[\Large (x+\color{red}3)^2=49\]

    • 9 months ago
  59. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    Notice of course, that 3 is half of the original coefficient of x, which was 6. Now take the square root of both sides: \[\Large \sqrt{(x+3)^2}=\sqrt{49}\] Notice that the square root and the square (exponent 2) cancel out. But the square root of 49 may be either positive or negative 7. \[\Large x+3=\pm7\] Bring the 3 to the other side, you now get \[\Large x = -3\pm7\] which means either x = -3 + 7 = 4 or x = -3 - 7 = -10 Case Closed :)

    • 9 months ago
  60. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    So... go ahead now, get started with your own problem, using the same concepts. I'll walk you through it if you like :)

    • 9 months ago
  61. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    yes please

    • 9 months ago
  62. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    By your lead :)

    • 9 months ago
  63. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    u on skype or call me at 803-937-6271 cus by u typing it it is confusing m please

    • 9 months ago
  64. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't have skype. come on, we can do this... I'll get you started... \[\Large x^2 +\color{red}2x = 120\]

    • 9 months ago
  65. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    then call me i dont understand

    • 9 months ago
  66. jazzyfa30
    Best Response
    You've already chosen the best response.
    Medals 1

    @jessika96

    • 9 months ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.