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

The solutions to the equation 2x^3+2x+1=0 are x\approx-0.42385…

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

The zeros of 2x^3+2x+1=0 are x\approx-0.42385…

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

x \approx - 0.42385 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.42385 \dots

Apply long division:

\frac{2 x ^{3} + 2 x + 1}{x + 0.42385 \dots} = 2 x^{2} - 0.84770 \dots x + 2.35930 \dots

2 x^{2} - 0.84770 \dots x + 2.35930 \dots \approx 0

Find one solution for

2 x^{2} - 0.84770 \dots x + 2.35930 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.42385 \dots

x^{5} = 5

- 20 x^{3} + 216 x^{2} - 648 x + 432 = 0

24 x^{2} - 70 x - 2 x^{3} = 0

x^{3} - 9 x^{2} + 26 x + 22 = 0

- x^{3} + 13 x^{2} - 40 x + 36 = 0

What are the solutions to the equation 2x^3+2x+1=0 ?
The solutions to the equation 2x^3+2x+1=0 are x\approx-0.42385…
Find the zeros of 2x^3+2x+1=0
The zeros of 2x^3+2x+1=0 are x\approx-0.42385…