What are the solutions to the equation z^3-3z-3=0 ?

The solutions to the equation z^3-3z-3=0 are z\approx 2.10380…

Find the zeros of z^3-3z-3=0

The zeros of z^3-3z-3=0 are z\approx 2.10380…

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z^{3} - 3 z - 3 = 0

z \approx 2.10380 \dots

Solution steps

z^{3} - 3 z - 3 = 0

Find one solution for

z^{3} - 3 z - 3 = 0

using Newton-Raphson:

z \approx 2.10380 \dots

Apply long division:

\frac{z ^{3} - 3 z - 3}{z - 2.10380 \dots} = z^{2} + 2.10380 \dots z + 1.42598 \dots

z^{2} + 2.10380 \dots z + 1.42598 \dots \approx 0

Find one solution for

z^{2} + 2.10380 \dots z + 1.42598 \dots = 0

using Newton-Raphson:

No Solution for

z \in R

The solution is

z \approx 2.10380 \dots

- 2 (x + 2)^{3} - 8 = 0

x, f = x^{4} - 6 x^{2} + 6

x^{3} + 3 x^{2} + 7 x + 21 = 0

z^{3} + z + 1 = 0

x (x - 3) (2 x + 1) = 0

What are the solutions to the equation z^3-3z-3=0 ?
The solutions to the equation z^3-3z-3=0 are z\approx 2.10380…
Find the zeros of z^3-3z-3=0
The zeros of z^3-3z-3=0 are z\approx 2.10380…