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TeemoTheTerific Group Title

Hi... Last question and i can sleep peacefully :) THANKS

  • one year ago
  • one year ago

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  1. TeemoTheTerific Group Title
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    \[\huge a= 2^{\frac{ 1 }{ 2 }} + 2^{\frac{ -1 }{ 2 }}\] \[\huge b=2^{\frac{ 1 }{ 2 }} - 2^{\frac{ -1 }{ 2 }}\] FIND \[\huge a ^{3} + b ^{3}\]

    • one year ago
  2. TeemoTheTerific Group Title
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    lol someone randomly gave me a medal?

    • one year ago
  3. TeemoTheTerific Group Title
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    i know the formula for a^3 + b^3 btw

    • one year ago
  4. TeemoTheTerific Group Title
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    (a+b)(a^2-ab + b^2)

    • one year ago
  5. hartnn Group Title
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    so, a+b=.. ?

    • one year ago
  6. hartnn Group Title
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    its actually \( 2 \times 2^{1/2}\)

    • one year ago
  7. TeemoTheTerific Group Title
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    yea :)

    • one year ago
  8. hartnn Group Title
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    ok, keep that as it is... now try (a^2-ab + b^2) =... ?

    • one year ago
  9. TeemoTheTerific Group Title
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    same thing as 2^1/2 + 2^1/2

    • one year ago
  10. TeemoTheTerific Group Title
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    i worked out a^2 was 9/2 before

    • one year ago
  11. hartnn Group Title
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    9/2 ? just a second..

    • one year ago
  12. TeemoTheTerific Group Title
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    b^2 was also ummm 1/2

    • one year ago
  13. hartnn Group Title
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    \((a^2-ab+b^2 )= (a^2-2ab+b^2)+ab = (a+b)^2+ab\) you already know a+b

    • one year ago
  14. hartnn Group Title
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    find ab

    • one year ago
  15. hartnn Group Title
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    we know a+b = 2*2^(1/2)

    • one year ago
  16. TeemoTheTerific Group Title
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    ab = 3/2?

    • one year ago
  17. hartnn Group Title
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    yes :)

    • one year ago
  18. TeemoTheTerific Group Title
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    would it be (a-b)^2 + ab? instead of (a+b)^2 + ab

    • one year ago
  19. hartnn Group Title
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    sorry, my mistake

    • one year ago
  20. hartnn Group Title
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    \((a^2-ab+b^2 )= (a^2+2ab+b^2)-3ab = (a+b)^2-3ab\)

    • one year ago
  21. TeemoTheTerific Group Title
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    so ill just work out (a^2-ab + b^2) manually?

    • one year ago
  22. TeemoTheTerific Group Title
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    wait but i dont think i done (a+b)^2

    • one year ago
  23. hartnn Group Title
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    i was just trying to simplify...you can do that manually, but it'll become complicated...

    • one year ago
  24. TeemoTheTerific Group Title
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    (a+b)^2 would be 8?

    • one year ago
  25. hartnn Group Title
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    yes. ab = 3/2 so, -3ab = -9/2 and 8+9/2 =... ?

    • one year ago
  26. hartnn Group Title
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    *8-9/2=..

    • one year ago
  27. TeemoTheTerific Group Title
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    7/2

    • one year ago
  28. TeemoTheTerific Group Title
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    so answer is (2^1/2 times 2 )(7/2) Is it?

    • one year ago
  29. hartnn Group Title
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    \(2 \times 2^{(1/2)} \times 7/2 =2^{(1/2)} \times 7 \)

    • one year ago
  30. TeemoTheTerific Group Title
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    ok thank you so much

    • one year ago
  31. TeemoTheTerific Group Title
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    these question confuse me so much :(

    • one year ago
  32. hartnn Group Title
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    practice more.... all confusions will go away...

    • one year ago
  33. TeemoTheTerific Group Title
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    lol thats easy to say

    • one year ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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