Results 1 to 9 of 9

Math Help - Very eerie result.

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    50

    Very eerie result.

    Solve analytically for the intersections of

    y=4-\frac{x^4}{64}

    and

    y=\sqrt{16-x^2}

    I'm concerned solely with the intersection in the first quadrant. Please tell em your result. I want to know if I'm just crazy when I see mine. You will know what I'm talking about when you solve it.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,102
    Thanks
    68
    x^4 = 256

    and

    x^2 = 16
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Nov 2009
    Posts
    50
    I'm talking about the one between 0 and 4
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    Quote Originally Posted by Keithfert488 View Post
    I'm talking about the one between 0 and 4

    I get  x= 0
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member Stroodle's Avatar
    Joined
    Jun 2009
    Posts
    367
    x=2\sqrt{2\sqrt{5}-2}
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Nov 2009
    Posts
    50
    I am talking about the solution where x is greater than 0 and less than 4
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Nov 2009
    Posts
    50
    Quote Originally Posted by Stroodle View Post
    x=2\sqrt{2\sqrt{5}-2}
    what I find so eerie is how close this is to pi. Is it just a coincidence?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Senior Member Stroodle's Avatar
    Joined
    Jun 2009
    Posts
    367
    Oh, I wouldn't have a clue But I'd say it's probably just a coincidence...
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Junior Member
    Joined
    Nov 2009
    Posts
    50
    The reason I did this is because I was trying to solve for the intersection of a fourth root polynomial with y-intercept r and zeros -r and r and a circle centered at the origin with radius r. So the x-coordinate of that intersection is very close to \frac{r\pi}{4}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How was this result found
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: January 3rd 2011, 06:56 AM
  2. Need to Prove Almost Everywhere Result
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: September 20th 2010, 12:12 PM
  3. Integral Result help!
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 19th 2009, 09:20 AM
  4. Prove result?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 23rd 2009, 11:47 PM
  5. how can u get this result?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 14th 2008, 11:23 AM

Search Tags


/mathhelpforum @mathhelpforum