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

The solutions to the equation roots x^3+2x+1 are x\approx-0.45339…

Find the zeros of roots x^3+2x+1

The zeros of roots x^3+2x+1 are x\approx-0.45339…

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roots

x^{3} + 2 x + 1

x \approx - 0.45339 \dots

Solution steps

x^{3} + 2 x + 1

The roots are the intercepts with the x-axis

(y = 0)

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.45339 \dots

Apply long division:

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

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

Find one solution for

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

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.45339 \dots

x^{3} + 2 x + 2

x^{6} - 3 x^{4} - x^{3} + 2 x^{2} - x - 1 = 0

3 x^{3} - 4 x = 0

s^{3} + 3.5 s^{2} + 1.75 s + 1.5 = 0

x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 = 0

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