What are the solutions to the equation m^3+6m^2+m+8=0 ?

The solutions to the equation m^3+6m^2+m+8=0 are m\approx-6.05313…

Find the zeros of m^3+6m^2+m+8=0

The zeros of m^3+6m^2+m+8=0 are m\approx-6.05313…

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m^{3} + 6 m^{2} + m + 8 = 0

m \approx - 6.05313 \dots

Solution steps

m^{3} + 6 m^{2} + m + 8 = 0

Find one solution for

m^{3} + 6 m^{2} + m + 8 = 0

using Newton-Raphson:

m \approx - 6.05313 \dots

Apply long division:

\frac{m ^{3} + 6 m ^{2} + m + 8}{m + 6.05313 \dots} = m^{2} - 0.05313 \dots m + 1.32162 \dots

m^{2} - 0.05313 \dots m + 1.32162 \dots \approx 0

Find one solution for

m^{2} - 0.05313 \dots m + 1.32162 \dots = 0

using Newton-Raphson:

No Solution for

m \in R

The solution is

m \approx - 6.05313 \dots

4 x^{3} + x = x

(x - 2) \cdot x^{2} - 9 (x - 2) = 0

x, x^{3} = 3 (y - c)

m^{3} = - 1

z^{6} + 3 z^{3} i + 10 = 0

What are the solutions to the equation m^3+6m^2+m+8=0 ?
The solutions to the equation m^3+6m^2+m+8=0 are m\approx-6.05313…
Find the zeros of m^3+6m^2+m+8=0
The zeros of m^3+6m^2+m+8=0 are m\approx-6.05313…