1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Homework Help!

  1. Jan 15, 2010 #1
    1. The problem statement, all variables and given/known data

    The question is: Factor and Plot the polar equation
    r^2-r+(1/4)sin^2 4 theta

    2. Relevant equations


    3. The attempt at a solution

    I have no idea how to do this.
  2. jcsd
  3. Jan 15, 2010 #2


    User Avatar
    Homework Helper

    r^2-r+(1/4)sin^2 4 theta is not an equation because there's no equal sign. Is it supposed to equal 0? If so, do you know how to factor a quadratic equation?
  4. Jan 15, 2010 #3
    yes it equals 0
    how am i supposed to factor this?
  5. Jan 15, 2010 #4


    User Avatar
    Science Advisor

    You can't. Are you sure it isn't [itex]r^2- r(1/4)sin^2(4\theta)[/itex]?
  6. Jan 15, 2010 #5


    User Avatar
    Homework Helper

    You can factor it. Does it make sense that if a and b are the roots of the equation, r^2-r+(1/4)sin^2 4 theta can be factored into A(r-a)(r-b)? You can find a and b using the quadratic formula. You won't get a numerical answer, but you will get an expression for a and b in terms of theta.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook