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Math Help - Solutions

  1. #1
    Member purplec16's Avatar
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    Solutions

    Find all solutions

    sec^5\theta=4sec\theta

    Are you suppose to let this equal to 0, but I thought thats only for quadratics? and it would not be a quadratic?
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  2. #2
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    It's a degree-5 equation, but no need to fear:

    sec^5\theta-4sec\theta=0

    (sec\theta)(sec^4\theta-4)=0

    (sec\theta)(sec^2\theta+2)(sec^2\theta-2)=0

    The middle one can't be zero, so you'll get one family of solutions from the first one and two families of solutions from the second. They'll be families of solutions because if \theta is a solution, then \theta+2n\pi is a solution for all integers n.

    Post again if you're still having trouble.
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