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

The solutions to the equation x^3+3x^2-3x+2=0 are x\approx-3.90057…

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

The zeros of x^3+3x^2-3x+2=0 are x\approx-3.90057…

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

x \approx - 3.90057 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 3.90057 \dots

Apply long division:

\frac{x ^{3} + 3 x ^{2} - 3 x + 2}{x + 3.90057 \dots} = x^{2} - 0.90057 \dots x + 0.51274 \dots

x^{2} - 0.90057 \dots x + 0.51274 \dots \approx 0

Find one solution for

x^{2} - 0.90057 \dots x + 0.51274 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 3.90057 \dots

9 x^{4} - 730 x^{2} + 81 = 0

- x^{3} - 12 x^{2} - 43 x - 44 = 0

x^{3} + 6 x^{2} - 12 x + 8 = 0

x, 125 x = 5 x^{3}

6 x^{2} - x^{3} = - x^{2} + 2 x + 3

What are the solutions to the equation x^3+3x^2-3x+2=0 ?
The solutions to the equation x^3+3x^2-3x+2=0 are x\approx-3.90057…
Find the zeros of x^3+3x^2-3x+2=0
The zeros of x^3+3x^2-3x+2=0 are x\approx-3.90057…