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

The solutions to the equation x^3+3x^2+3x-1=0 are x\approx 0.25992…

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

The zeros of x^3+3x^2+3x-1=0 are x\approx 0.25992…

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

x \approx 0.25992 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.25992 \dots

Apply long division:

\frac{x ^{3} + 3 x ^{2} + 3 x - 1}{x - 0.25992 \dots} = x^{2} + 3.25992 \dots x + 3.84732 \dots

x^{2} + 3.25992 \dots x + 3.84732 \dots \approx 0

Find one solution for

x^{2} + 3.25992 \dots x + 3.84732 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.25992 \dots

x^{3} + 3 x^{2} + 4 x = 0

2 = x^{5} + x^{3} + x

3 x^{3} - 7 x^{2} + 75 x - 175 = 0

x^{3} - 4 x^{2} + 9 x - 36 = 0

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

What are the solutions to the equation x^3+3x^2+3x-1=0 ?
The solutions to the equation x^3+3x^2+3x-1=0 are x\approx 0.25992…
Find the zeros of x^3+3x^2+3x-1=0
The zeros of x^3+3x^2+3x-1=0 are x\approx 0.25992…