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apple_pi

  • 2 years ago

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

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

  3. apple_pi
    • 2 years ago
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    yes

  4. lgbasallote
    • 2 years ago
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    okay @mathslover can continue

  5. mathslover
    • 2 years ago
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    |dw:1347445260833:dw|

  6. mathslover
    • 2 years ago
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    right?

  7. lgbasallote
    • 2 years ago
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    ....

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

  9. apple_pi
    • 2 years ago
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    yeah

  10. mathslover
    • 2 years ago
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    ok thanks so we have now |dw:1347445472761:dw|

  11. mathslover
    • 2 years ago
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    M i right?

  12. apple_pi
    • 2 years ago
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    yeah

  13. mathslover
    • 2 years ago
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    Ok so can you use this identity in this question?

  14. mathslover
    • 2 years ago
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    |dw:1347445610483:dw|

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

  16. mathslover
    • 2 years ago
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    + ????? ...

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

  18. mathslover
    • 2 years ago
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    yep

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