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Math Help - If x^2+4x+p=(x+q)^2 +1, find p and q.

  1. #1
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    If x^2+4x+p=(x+q)^2 +1, find p and q.

    I think this may be simple, but I just cant seem to get it. So Ive decided to sign up to this site. Help please!

    if x^2+4x+p=(x+q)^2 +1

    then the values of p and q are...?

    Thanks!
    Last edited by mr fantastic; June 12th 2011 at 03:22 AM. Reason: Title.
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  2. #2
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    Quote Originally Posted by tjnortham View Post
    I think this may be simple, but I just cant seem to get it. So Ive decided to sign up to this site. Help please!

    if x^2+4x+p=(x+q)^2 +1

    then the values of p and q are...?

    Thanks!
    Expand the right hand side and equate coefficients of powers of x and constant terms:

    4 = 2q

    p = q^2 + 1

    Solve the above two equations for p and q.
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