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anonymous

  • one year ago

solve by factoring: x^2 - 2x = 24

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  1. anonymous
    • one year ago
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    \[^{x^2-2x=24}\]

  2. anonymous
    • one year ago
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    please help me with this i need to do good on a test tomorrow

  3. anonymous
    • one year ago
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    Do you have any idea what to do?

  4. anonymous
    • one year ago
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    um not really, im sorry... i wasnt at school the day of this lesson

  5. anonymous
    • one year ago
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    1. Make the equation equal to \(0\) first. Since it is \(x^2-2x=24\), make it equal to zero by SUBTRACTING \(24\) on both sides.|dw:1442444154016:dw|

  6. anonymous
    • one year ago
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    Do you understand so far?

  7. anonymous
    • one year ago
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    yes

  8. anonymous
    • one year ago
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    If you understand it, what would now the equation be?

  9. anonymous
    • one year ago
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    |dw:1442444340637:dw|

  10. anonymous
    • one year ago
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    |dw:1442444398863:dw|

  11. anonymous
    • one year ago
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    Now let's factor this equation. :) What two numbers will you MULTIPLY to get \(24\)?

  12. anonymous
    • one year ago
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    6 and 4, right?

  13. anonymous
    • one year ago
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    6 and 4 are partially correct! But if you add 6 and 4, would you get -2? Yes or no?

  14. anonymous
    • one year ago
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    so -6?

  15. anonymous
    • one year ago
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    Yes! -6 and +4 :D

  16. anonymous
    • one year ago
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    Now solve for x. |dw:1442444656142:dw|

  17. anonymous
    • one year ago
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    |dw:1442444697995:dw|

  18. anonymous
    • one year ago
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    ok, i kinda get it but i have a question. if you added 6 and 4, why would you get -2?

  19. anonymous
    • one year ago
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    When you \(6\) and \(4\) you will not get -2, but you will get 10 because \(\huge 6+4=10\).

  20. anonymous
    • one year ago
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    But when you add \(-6\) and \(4\), you'll get -2. \(\huge -6+4=-2\)

  21. anonymous
    • one year ago
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    well yes XD so you're trying to get to -2 as well?

  22. anonymous
    • one year ago
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    Like that is your goal?

  23. anonymous
    • one year ago
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    Yes! You want to get -2 when you add them and at the same time get -24 when you multiply them. :D

  24. anonymous
    • one year ago
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    ohhh, ok that makes sense now...

  25. anonymous
    • one year ago
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    Okay, back to this. :) |dw:1442445006629:dw|

  26. anonymous
    • one year ago
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    Find x. |dw:1442445027766:dw|

  27. anonymous
    • one year ago
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    so are you now trying to get to -24? so the answer would be x=6,-4?

  28. anonymous
    • one year ago
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    "so are you now trying to get to -24?" No. We've already done that because \(\huge (-6)(4)=-24\)

  29. anonymous
    • one year ago
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    "so the answer would be x=6,-4? CORRECT! We're trying to solve for x. :)

  30. anonymous
    • one year ago
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    For further references here's a link in factoring trinomials: https://www.youtube.com/watch?v=Nj9GgAM-dTQ Enjoy Algebra!

  31. anonymous
    • one year ago
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    oh ok thank you?

  32. anonymous
    • one year ago
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    !!**

  33. anonymous
    • one year ago
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    You are welcome! :D

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