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anonymous

  • one year ago

Hey can someone please help me out with this? I'll fan and medal :) Write x^2 - 2x - 3 = 0 in the form (x - a)^2 = b, where a and b are integers. (x - 4)^2 = 3 (x - 3)^2 = 2 (x - 2)^2 = 1 (x - 1)^2 = 4

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  1. anonymous
    • one year ago
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    @Vocaloid @iGreen @wio @Kainui

  2. anonymous
    • one year ago
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    complete the square

  3. anonymous
    • one year ago
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    do you know how to do that?

  4. anonymous
    • one year ago
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    Umm, kind of. Could you help walk me through it?

  5. anonymous
    • one year ago
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    sure

  6. anonymous
    • one year ago
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    Ok, so I'm not sure where to start...

  7. anonymous
    • one year ago
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    sorry about that

  8. anonymous
    • one year ago
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    first step is to move the -3 to the other side of the equation

  9. anonymous
    • one year ago
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    No problem :)

  10. anonymous
    • one year ago
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    so add 3 to both sides to get x^2 - 2x = 3

  11. anonymous
    • one year ago
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    Ok, so it would read x^2 - 2x = 3?

  12. anonymous
    • one year ago
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    Oh, wait that's what you put lol

  13. anonymous
    • one year ago
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    that's right

  14. anonymous
    • one year ago
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    Ok, and then I might try to factor?

  15. anonymous
    • one year ago
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    |dw:1433358733396:dw|

  16. anonymous
    • one year ago
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    now divide the -2x by -2

  17. anonymous
    • one year ago
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    this gives you 1

  18. anonymous
    • one year ago
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    |dw:1433358802037:dw|

  19. anonymous
    • one year ago
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    then you square 1 and put it back into the equation

  20. anonymous
    • one year ago
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    which gives

  21. anonymous
    • one year ago
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    |dw:1433358865720:dw|

  22. anonymous
    • one year ago
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    Wait, I think I got lost somewhere. So after you divide the -2x by -2, you have to divide the other side of the equation by -2 which gives you the equation x^2 - x = -1.5. Right?

  23. anonymous
    • one year ago
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    no, not when completing the square. we are only looking at the right side of the equation right now

  24. anonymous
    • one year ago
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    sorry, i meant the left side of the equation

  25. anonymous
    • one year ago
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    Hmmm, I'm still lost.

  26. anonymous
    • one year ago
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    all we are doing is adding a number to the left side of the equation so we get a factor for x with multiplicity 2

  27. anonymous
    • one year ago
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    we then add that same number to the right side of the equation

  28. anonymous
    • one year ago
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    i think you will understand it when I go through all the steps

  29. anonymous
    • one year ago
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    so we added 1 to x^2 - 2x on the left side of the equation. since we added 1 to one side of the equation, we now add 1 to the other side

  30. anonymous
    • one year ago
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    Ok, so now the equation is x^2 + 1 = 4

  31. anonymous
    • one year ago
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    |dw:1433359235489:dw|

  32. anonymous
    • one year ago
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    the -2x is still there

  33. anonymous
    • one year ago
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    Wait I meant x^2 -2x + 1 = 4

  34. anonymous
    • one year ago
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    Yeah :)

  35. anonymous
    • one year ago
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    thats right, now factor x^2-2x+1

  36. anonymous
    • one year ago
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    I think this is where I get lost

  37. anonymous
    • one year ago
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    I know how to factor but this one is different lol I guess

  38. anonymous
    • one year ago
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    ok, what two numbers multiply together to get 1

  39. anonymous
    • one year ago
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    1 and 1

  40. anonymous
    • one year ago
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    add them together

  41. anonymous
    • one year ago
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    2 :)

  42. anonymous
    • one year ago
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    its suppose to add to -2 so 1 and 1 doesn't work.

  43. anonymous
    • one year ago
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    Oh, ok so it would have to be -1 and -1

  44. anonymous
    • one year ago
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    what other 2 numbers multiply together to get 1

  45. anonymous
    • one year ago
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    that's right

  46. anonymous
    • one year ago
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    so what does the equation look like factored?

  47. anonymous
    • one year ago
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    Oh, I think I got it (maybe)! Is it (x - 1)^2 = 4?

  48. anonymous
    • one year ago
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    good job! :)

  49. anonymous
    • one year ago
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    Yay! Thank you so much @10115658 It makes perfect sense now. :) I am now officially a fan ;)

  50. anonymous
    • one year ago
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    awesome

  51. anonymous
    • one year ago
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    Tttyl and thanks again :)

  52. anonymous
    • one year ago
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    *ttyl

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