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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

    N/A

    3. The attempt at a solution

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

    ideasrule

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    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

    HallsofIvy

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    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

    ideasrule

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    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.
     
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