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

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

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

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

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2 = m^{3} + 2 m

m \approx 0.77091 \dots

Solution steps

2 = m^{3} + 2 m

Switch sides

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

(1 - y) (3 - y) (6 - y) = 3 \frac{1}{8}

x^{6} = 363 + 36 i

x (x - 3)^{2} = 2 x

(x - 3)^{7} = 64 (x - 3)^{4}

- 16 y - y^{3} + 32 = 0

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