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Math Help - Complex Numbers

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    Super Member Aryth's Avatar
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    Complex Numbers

    Solve the equation z^3 + 1 = i for the unknown complex quantity z. Express your answers in rectangular form to two decimal places.
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    Quote Originally Posted by Aryth View Post
    Solve the equation z^3 + 1 = i for the unknown complex quantity z. Express your answers in rectangular form to two decimal places.
    That means that z^3=-1+i=\sqrt{2}\left(\cos\left[\frac{3\pi}{4}\right]+i\sin\left[\frac{3\pi}{4}\right]\right)
    Now find the three cube roots.
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    Super Member Aryth's Avatar
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    Thanks a lot. This was covered early on in the semester and for the life of me I could not remember how to do it.
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    Grand Panjandrum
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    Quote Originally Posted by Aryth View Post
    Thanks a lot. This was covered early on in the semester and for the life of me I could not remember how to do it.
    Did you consider consulting your notes or text book?

    CB
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