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

The solutions to the equation m^3+2m=2 are m\approx 0.77091…

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

The zeros of m^3+2m=2 are m\approx 0.77091…

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m^{3} + 2 m = 2

m \approx 0.77091 \dots

Solution steps

m^{3} + 2 m = 2

Move

2

to the left side

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

Find one solution for

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

using Newton-Raphson:

m \approx 0.77091 \dots

Apply long division:

\frac{m ^{3} + 2 m - 2}{m - 0.77091 \dots} = m^{2} + 0.77091 \dots m + 2.59431 \dots

m^{2} + 0.77091 \dots m + 2.59431 \dots \approx 0

Find one solution for

m^{2} + 0.77091 \dots m + 2.59431 \dots = 0

using Newton-Raphson:

No Solution for

m \in R

The solution is

m \approx 0.77091 \dots

- x^{3} - x = 0

x, x^{4} - 2 x^{2} + 1 = 0

- 2 x^{5} - 8 x^{3} = 0

24 x + 21 x^{2} - 3 x^{3} = 0

2 x^{4} + 5 x^{2} + 1 = 0

What are the solutions to the equation m^3+2m=2 ?
The solutions to the equation m^3+2m=2 are m\approx 0.77091…
Find the zeros of m^3+2m=2
The zeros of m^3+2m=2 are m\approx 0.77091…