Solve in C

**dhiab** · November 28th 2009, 09:42 PM

Solve in C
$<br /> z^{3}+\sqrt{z}+1=0<br />$

**Raoh** · December 2nd 2009, 11:18 AM

Hint : put $\sqrt{z} = u$ ,and solve $u^6+u+1$ .

**pacman** · December 16th 2009, 07:13 AM

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.

**Raoh** · December 16th 2009, 07:28 AM

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 $z\geq 0$ there will be no solutions.

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