Solve in C $\displaystyle z^{3}+\sqrt{z}+1=0 $
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Hint : put $\displaystyle \sqrt{z} = u$ ,and solve $\displaystyle u^6+u+1$.
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.
Originally Posted by pacman 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 $\displaystyle z\geq 0$ there will be no solutions.
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