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Math Help - Solve in C

  1. #1
    Super Member dhiab's Avatar
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    Solve in C

    Solve in C
     <br />
z^{3}+\sqrt{z}+1=0<br />
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  2. #2
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    Smile

    Hint : put \sqrt{z} = u ,and solve u^6+u+1.
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  3. #3
    Senior Member pacman's Avatar
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    let y = x^3 + x^(1/2) + 1; for x should not be less than 0.
    Plotting it, we have






    No real roots i think.
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  4. #4
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    Smile

    Quote Originally Posted by pacman View Post
    let y = x^3 + x^(1/2) + 1; for x should not be less than 0.
    Plotting it, we have






    No real roots i think.
    he said solve in C,not in R
    because if he said solve in R,and since z\geq 0 there will be no solutions.
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