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apple_pi Group Title

Prove:

  • 2 years ago
  • 2 years ago

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

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

    • 2 years ago
  3. apple_pi Group Title
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    yes

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

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

    • 2 years ago
  6. mathslover Group Title
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    right?

    • 2 years ago
  7. lgbasallote Group Title
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    ....

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

    • 2 years ago
  9. apple_pi Group Title
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    yeah

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

    • 2 years ago
  11. mathslover Group Title
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    M i right?

    • 2 years ago
  12. apple_pi Group Title
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    yeah

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

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

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

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

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

    • 2 years ago
  18. mathslover Group Title
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    yep

    • 2 years ago
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