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

The solutions to the equation k^3-2k^2+k+1=0 are k\approx-0.46557…

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

The zeros of k^3-2k^2+k+1=0 are k\approx-0.46557…

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

k \approx - 0.46557 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

k \approx - 0.46557 \dots

Apply long division:

\frac{k ^{3} - 2 k ^{2} + k + 1}{k + 0.46557 \dots} = k^{2} - 2.46557 \dots k + 2.14789 \dots

k^{2} - 2.46557 \dots k + 2.14789 \dots \approx 0

Find one solution for

k^{2} - 2.46557 \dots k + 2.14789 \dots = 0

using Newton-Raphson:

No Solution for

k \in R

The solution is

k \approx - 0.46557 \dots

x^{15} = x^{2}

(22 - 15)^{5} = (2 x - 15)^{3}

216 x^{6} - 793 x + 216 = 0

8 x^{3} - 84 x^{2} + 262 x - 231 = 0

z^{3} = - 8

What are the solutions to the equation k^3-2k^2+k+1=0 ?
The solutions to the equation k^3-2k^2+k+1=0 are k\approx-0.46557…
Find the zeros of k^3-2k^2+k+1=0
The zeros of k^3-2k^2+k+1=0 are k\approx-0.46557…