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apple_pi

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  • one year ago
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  1. apple_pi
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    \[\sqrt{(ap^2-a)^2+4a^2p^2}=a(p^2+1)\]

    • one year ago
  2. lgbasallote
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    i'll take the LHS... factor out first \[\implies \sqrt{(ap^2 - a)^2 +(2ap)^2}\] right?

    • one year ago
  3. apple_pi
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    yes

    • one year ago
  4. lgbasallote
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    okay @mathslover can continue

    • one year ago
  5. mathslover
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    |dw:1347445260833:dw|

    • one year ago
  6. mathslover
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    right?

    • one year ago
  7. lgbasallote
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    ....

    • one year ago
  8. mathslover
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    I am just proving an identity that will help you to prove this. apple-pie do reply

    • one year ago
  9. apple_pi
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    yeah

    • one year ago
  10. mathslover
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    ok thanks so we have now |dw:1347445472761:dw|

    • one year ago
  11. mathslover
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    M i right?

    • one year ago
  12. apple_pi
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    yeah

    • one year ago
  13. mathslover
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    Ok so can you use this identity in this question?

    • one year ago
  14. mathslover
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    |dw:1347445610483:dw|

    • one year ago
  15. apple_pi
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    ok, so LHS comes down to a(p^2-1) which equals RHS. Thank you

    • one year ago
  16. mathslover
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    + ????? ...

    • one year ago
  17. apple_pi
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    ^ a(p^2+1)

    • one year ago
  18. mathslover
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    yep

    • one year ago
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