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

The solutions to the equation 2x^3+x^2+x+1=0 are x\approx-0.73898…

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

The zeros of 2x^3+x^2+x+1=0 are x\approx-0.73898…

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

x \approx - 0.73898 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.73898 \dots

Apply long division:

\frac{2 x ^{3} + x ^{2} + x + 1}{x + 0.73898 \dots} = 2 x^{2} - 0.47796 \dots x + 1.35320 \dots

2 x^{2} - 0.47796 \dots x + 1.35320 \dots \approx 0

Find one solution for

2 x^{2} - 0.47796 \dots x + 1.35320 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.73898 \dots

h, 5 h (h^{2} + 12) = 68

- 3 x^{5} + 5 x^{3} = 0

524442 = 411536 (1 + x)^{14}

n^{3} = \frac{27}{343}

45 x^{4} + 30 x^{3} + 5 x^{2} = 0

What are the solutions to the equation 2x^3+x^2+x+1=0 ?
The solutions to the equation 2x^3+x^2+x+1=0 are x\approx-0.73898…
Find the zeros of 2x^3+x^2+x+1=0
The zeros of 2x^3+x^2+x+1=0 are x\approx-0.73898…