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lizzy87 Group Title

How to solve X^2+10x=24 by completing the square.

  • 2 years ago
  • 2 years ago

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  1. earslan100 Group Title
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    what times what equals 24 and those same numbers have to add upto 10

    • 2 years ago
  2. earslan100 Group Title
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    12 and -2 right?

    • 2 years ago
  3. znimon Group Title
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    or 4 and 6

    • 2 years ago
  4. henpen Group Title
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    \[x^2+10x=(x+5)^2-25\] Do you understand this?

    • 2 years ago
  5. earslan100 Group Title
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    no 4 and 6 when u multiply its 24 not -24

    • 2 years ago
  6. earslan100 Group Title
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    srry it has to multiply to -24

    • 2 years ago
  7. henpen Group Title
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    ... or we could actually help him with the mechanics of the question

    • 2 years ago
  8. henpen Group Title
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    *or her

    • 2 years ago
  9. earslan100 Group Title
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    so the answer is (x-2)(x+10)

    • 2 years ago
  10. earslan100 Group Title
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    if you multiply using foils u can see it equals the question

    • 2 years ago
  11. henpen Group Title
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    Really, that's not completing the square.

    • 2 years ago
  12. henpen Group Title
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    http://en.wikipedia.org/wiki/Completing_the_square Needs to be in the form (x+k)^2=c

    • 2 years ago
  13. earslan100 Group Title
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    okie

    • 2 years ago
  14. earslan100 Group Title
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    ur right srry

    • 2 years ago
  15. henpen Group Title
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    Okay, @lizzy87 , do you understand why\[x^2+10x=(x+5)^2-25\]?

    • 2 years ago
  16. lizzy87 Group Title
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    how didi you get the 5?

    • 2 years ago
  17. henpen Group Title
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    |dw:1346521462011:dw| Because 2x5=10

    • 2 years ago
  18. henpen Group Title
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    |dw:1346521508364:dw|

    • 2 years ago
  19. henpen Group Title
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    And if you take away 25 and cancel the 2 5x's into one 10x, that happens.

    • 2 years ago
  20. henpen Group Title
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    |dw:1346521563679:dw|

    • 2 years ago
  21. lizzy87 Group Title
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    oh ok see how you got that thanks

    • 2 years ago
  22. henpen Group Title
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    \[x^2+10x=24\] \[x^2+10x=(x+5)^2-25\] Therefore\[24=(x+5)^2-25\] and\[49=(x+5)^2\]

    • 2 years ago
  23. henpen Group Title
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    1- Did you understand that 2- What do you think we could do now to simplify?

    • 2 years ago
  24. henpen Group Title
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    \[\pm \sqrt{49}=x+5\]

    • 2 years ago
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