What are the solutions to the equation z^3+2z^2+21z+58=0 ?

The solutions to the equation z^3+2z^2+21z+58=0 are z\approx-2.57867…

Find the zeros of z^3+2z^2+21z+58=0

The zeros of z^3+2z^2+21z+58=0 are z\approx-2.57867…

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z^{3} + 2 z^{2} + 21 z + 58 = 0

z \approx - 2.57867 \dots

Solution steps

z^{3} + 2 z^{2} + 21 z + 58 = 0

Find one solution for

z^{3} + 2 z^{2} + 21 z + 58 = 0

using Newton-Raphson:

z \approx - 2.57867 \dots

Apply long division:

\frac{z ^{3} + 2 z ^{2} + 21 z + 58}{z + 2.57867 \dots} = z^{2} - 0.57867 \dots z + 22.49220 \dots

z^{2} - 0.57867 \dots z + 22.49220 \dots \approx 0

Find one solution for

z^{2} - 0.57867 \dots z + 22.49220 \dots = 0

using Newton-Raphson:

No Solution for

z \in R

The solution is

z \approx - 2.57867 \dots

(x - 7)^{3} = 13

(x^{2} - x - 2)^{2} = 0

x, x^{3} + y^{2} = 1

(1 - y) (3 - y) (6 - y) = 18

(s^{3} - s^{2} + s - 1) = s^{2} + 3 s + 4

What are the solutions to the equation z^3+2z^2+21z+58=0 ?
The solutions to the equation z^3+2z^2+21z+58=0 are z\approx-2.57867…
Find the zeros of z^3+2z^2+21z+58=0
The zeros of z^3+2z^2+21z+58=0 are z\approx-2.57867…