Results 1 to 5 of 5

Thread: Help for Completing Square method

  1. #1
    Member moonnightingale's Avatar
    Joined
    Sep 2009
    Posts
    135

    Help for Completing Square method

    I have got the equation

    $\displaystyle 10/(s^2+s+10)$

    I want to write it in this form

    $\displaystyle b/((s+a)^2+b^2)$

    My efforts are these:-

    I took the denominator

    $\displaystyle (s+a)^2+b^2$ = $\displaystyle (s+1/2)^2+9.75$

    by completing square method

    but now i am stuck up due to numerator

    Kindly help me

    And thanks to Fantastic ( i have learnt Latix as well little bit)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2009
    From
    1111
    Posts
    872
    Thanks
    4
    Quote Originally Posted by moonnightingale View Post
    I have got the equation

    $\displaystyle 10/(s^2+s+10)$

    I want to write it in this form

    $\displaystyle b/((s+a)^2+b^2)$

    My efforts are these:-

    I took the denominator

    $\displaystyle (s+a)^2+b^2$ = $\displaystyle (s+1/2)^2+9.75$

    by completing square method

    but now i am stuck up due to numerator

    Kindly help me

    And thanks to Fantastic ( i have learnt Latix as well little bit)
    Dear moonnightingale,

    $\displaystyle s^2+s+10=(s+\frac{1}{2})^2-\frac{1}{4}+10$

    Hope you can continue.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member moonnightingale's Avatar
    Joined
    Sep 2009
    Posts
    135
    sorry it is not the required form which i want

    $\displaystyle b/((s+a)^2+b^2)$
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Dec 2009
    From
    1111
    Posts
    872
    Thanks
    4
    Quote Originally Posted by moonnightingale View Post
    sorry it is not the required form which i want

    $\displaystyle b/((s+a)^2+b^2)$
    $\displaystyle s^2+s+10=(s+\frac{1}{2})^2-\frac{1}{4}+10=(s+\frac{1}{2})^2+\frac{39}{4}$

    Therefore, $\displaystyle \frac{10}{s^2+s+10}=\frac{10}{(s+\frac{1}{2})^2+\f rac{39}{4}}$
    Last edited by Sudharaka; Jul 10th 2010 at 12:58 AM.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member moonnightingale's Avatar
    Joined
    Sep 2009
    Posts
    135
    Thanks i have solved it
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help completing the square.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Oct 2nd 2009, 08:00 AM
  2. completing the square
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Sep 18th 2009, 03:28 PM
  3. completing the square
    Posted in the Algebra Forum
    Replies: 10
    Last Post: Sep 16th 2009, 10:58 AM
  4. Need help completing the square
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Apr 19th 2009, 11:18 PM
  5. Completing the Square
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Aug 25th 2008, 12:08 PM

/mathhelpforum @mathhelpforum