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Math Help - Implicit to Explicit

  1. #1
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    Implicit to Explicit

    I got an answer to a question on my homework but it's in implicit form and it wants it in explicit form.. here's the answer

    y^2 - 2y = x^3 + 4x^2 + 3x

    So, I need to know how to turn this into a simple "y = " explicit format, i'm pretty sure a square root will be involved.

    Thanks in advance!
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by KennyP33 View Post
    I got an answer to a question on my homework but it's in implicit form and it wants it in explicit form.. here's the answer

    y^2 - 2y = x^3 + 4x^2 + 3x

    So, I need to know how to turn this into a simple "y = " explicit format, i'm pretty sure a square root will be involved.

    Thanks in advance!
    Complete the square on the LHS to get (y-1)^2=x^3+4x^2+3x+1

    Now take square roots to get y-1=\sqrt{x^3+4x^2+3x+1}\implies y=\sqrt{x^3+4x^2+3x+1}+1

    Does this make sense?
    Last edited by Chris L T521; February 3rd 2010 at 08:12 PM.
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