What are the solutions to the equation z^4+4z^3+8z^2+80z+400=0 ?

The solutions to the equation z^4+4z^3+8z^2+80z+400=0 are No Solution for z\in\mathbb{R}

Find the zeros of z^4+4z^3+8z^2+80z+400=0

The zeros of z^4+4z^3+8z^2+80z+400=0 are No Solution for z\in\mathbb{R}

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z^{4} + 4 z^{3} + 8 z^{2} + 80 z + 400 = 0

No Solution for z \in R

Solution steps

z^{4} + 4 z^{3} + 8 z^{2} + 80 z + 400 = 0

Find one solution for

z^{4} + 4 z^{3} + 8 z^{2} + 80 z + 400 = 0

using Newton-Raphson:

No Solution for

z \in R

The solution is

No Solution for z \in R

4 x^{3} = 92

x^{3} - 4 x + 8 = 0

(12 s^{2} + 1)^{2} = 0

x^{2} (x + 2) = 16 (x + 2)

z^{3} = \frac{1}{8}

What are the solutions to the equation z^4+4z^3+8z^2+80z+400=0 ?
The solutions to the equation z^4+4z^3+8z^2+80z+400=0 are No Solution for z\in\mathbb{R}
Find the zeros of z^4+4z^3+8z^2+80z+400=0
The zeros of z^4+4z^3+8z^2+80z+400=0 are No Solution for z\in\mathbb{R}