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

The solutions to the equation m^3-3m^2+3m+1=0 are m\approx-0.25992…

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

The zeros of m^3-3m^2+3m+1=0 are m\approx-0.25992…

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

m \approx - 0.25992 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

m \approx - 0.25992 \dots

Apply long division:

\frac{m ^{3} - 3 m ^{2} + 3 m + 1}{m + 0.25992 \dots} = m^{2} - 3.25992 \dots m + 3.84732 \dots

m^{2} - 3.25992 \dots m + 3.84732 \dots \approx 0

Find one solution for

m^{2} - 3.25992 \dots m + 3.84732 \dots = 0

using Newton-Raphson:

No Solution for

m \in R

The solution is

m \approx - 0.25992 \dots

x^{3} - 10 x^{2} + 25 x - 63 = 0

6 x^{4} + 7 x^{3} - 22 x^{2} - 28 x - 8 = 0

4 x^{4} + 13 x + 9 = 0

(x - 1)^{3} = 27

x^{3} - x^{2} + x - 6 = 0

What are the solutions to the equation m^3-3m^2+3m+1=0 ?
The solutions to the equation m^3-3m^2+3m+1=0 are m\approx-0.25992…
Find the zeros of m^3-3m^2+3m+1=0
The zeros of m^3-3m^2+3m+1=0 are m\approx-0.25992…