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Math Help - Determine the value of a

  1. #1
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    Determine the value of a

    Determine the value of a (element) of R if -root3i is to be a zero of a+z^2 = a-11/z^2. the answer is a=5, but the book says nothing about this im lost
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    Quote Originally Posted by Barney View Post
    Determine the value of a (element) of R if -root3i is to be a zero of a+z^2 = a-11/z^2. the answer is a=5, but the book says nothing about this im lost
    Hi Barney,

    I hope you mean that -i\sqrt{3} satisfies the equation, a+z^2=\dfrac{a-11}{z^2}. So substitute z=-i\sqrt{3} to the equation and find the value of a.
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