What are the solutions to the equation m^3+2m+1=0 ?

The solutions to the equation m^3+2m+1=0 are m\approx-0.45339…

Find the zeros of m^3+2m+1=0

The zeros of m^3+2m+1=0 are m\approx-0.45339…

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m^{3} + 2 m + 1 = 0

m \approx - 0.45339 \dots

Solution steps

m^{3} + 2 m + 1 = 0

Find one solution for

m^{3} + 2 m + 1 = 0

using Newton-Raphson:

m \approx - 0.45339 \dots

Apply long division:

\frac{m ^{3} + 2 m + 1}{m + 0.45339 \dots} = m^{2} - 0.45339 \dots m + 2.20556 \dots

m^{2} - 0.45339 \dots m + 2.20556 \dots \approx 0

Find one solution for

m^{2} - 0.45339 \dots m + 2.20556 \dots = 0

using Newton-Raphson:

No Solution for

m \in R

The solution is

m \approx - 0.45339 \dots

- 3 x^{3} = 0

t^{4} + 2 t^{2} + 1 = 0

x^{5} - 5 = 27

x, x^{3} = 64

10 x^{6} - 8 x^{2} = 0

What are the solutions to the equation m^3+2m+1=0 ?
The solutions to the equation m^3+2m+1=0 are m\approx-0.45339…
Find the zeros of m^3+2m+1=0
The zeros of m^3+2m+1=0 are m\approx-0.45339…