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burhan101 Group Title

Increasing and decreasing intervals of 4x^2+4x-1

  • 2 years ago
  • 2 years ago

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  1. etemplin Group Title
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    do you know derivatives?

    • 2 years ago
  2. burhan101 Group Title
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    we have to complete the square

    • 2 years ago
  3. burhan101 Group Title
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    would it be \[\huge 4x^2+4x-4+4-1 \] for the first step of completing the square ?

    • 2 years ago
  4. etemplin Group Title
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    yes

    • 2 years ago
  5. burhan101 Group Title
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    then \[\huge 4 (x-1)^2 -1\] ? :S

    • 2 years ago
  6. etemplin Group Title
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    when you multiply that out it doesnt give you 4x^2+4x-4+4-1

    • 2 years ago
  7. etemplin Group Title
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    try this one 4(x+(1/2))^2 -2

    • 2 years ago
  8. burhan101 Group Title
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    i dont get where the 1/2 comes from :S

    • 2 years ago
  9. etemplin Group Title
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    i found the error: the leading coefficient must be 1 to complete the square try setting it equal to 0, moving the -1 over, and dividing by 4 then complete the square

    • 2 years ago
  10. burhan101 Group Title
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    why does it have to be 1 ?

    • 2 years ago
  11. etemplin Group Title
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    because thats what the formula says

    • 2 years ago
  12. burhan101 Group Title
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    oh so it applies at all equations ?

    • 2 years ago
  13. etemplin Group Title
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    it applies to quadratics with a leading coefficient of 1

    • 2 years ago
  14. burhan101 Group Title
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    |dw:1351571054966:dw|

    • 2 years ago
  15. etemplin Group Title
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    that works move the -1/4 over divide the middle term by 2 and square it add that answer to both sides factor

    • 2 years ago
  16. etemplin Group Title
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    *by middle term, i meant the coefficient with the x^1

    • 2 years ago
  17. burhan101 Group Title
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    what do you mean by move the -1/4 over ? like why

    • 2 years ago
  18. etemplin Group Title
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    because thats what the formula says to do you'll end up with x^2+x=(1/4) the term with x is 1 (1/2)^2 = 1/4 add (1/4) to both sides end up with x^2+x+(1/4) = (1/2) factor into (x+(1/2))^2 = (1/2) solve for x

    • 2 years ago
  19. burhan101 Group Title
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    |dw:1351571511476:dw|

    • 2 years ago
  20. etemplin Group Title
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    yes now factor the left side

    • 2 years ago
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