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

The solutions to the equation x^3+3x^2+x+1=0 are x\approx-2.76929…

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

The zeros of x^3+3x^2+x+1=0 are x\approx-2.76929…

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

x \approx - 2.76929 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 2.76929 \dots

Apply long division:

\frac{x ^{3} + 3 x ^{2} + x + 1}{x + 2.76929 \dots} = x^{2} + 0.23070 \dots x + 0.36110 \dots

x^{2} + 0.23070 \dots x + 0.36110 \dots \approx 0

Find one solution for

x^{2} + 0.23070 \dots x + 0.36110 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 2.76929 \dots

a, a^{4} = \frac{4}{3} a^{2} b + \frac{4}{9} b^{2}

y, x^{4} y - 20 = 0

2 x^{3} + 5 x^{2} - 13 x + 7 = 0

(x - 3)^{4} - 3 (x - 3)^{2} - 10 = 0

240 t - 60 t^{3} = 0

What are the solutions to the equation x^3+3x^2+x+1=0 ?
The solutions to the equation x^3+3x^2+x+1=0 are x\approx-2.76929…
Find the zeros of x^3+3x^2+x+1=0
The zeros of x^3+3x^2+x+1=0 are x\approx-2.76929…