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

The solutions to the equation s^3+s^2+1=0 are s\approx-1.46557…

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

The zeros of s^3+s^2+1=0 are s\approx-1.46557…

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

s \approx - 1.46557 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

s \approx - 1.46557 \dots

Apply long division:

\frac{s ^{3} + s ^{2} + 1}{s + 1.46557 \dots} = s^{2} - 0.46557 \dots s + 0.68232 \dots

s^{2} - 0.46557 \dots s + 0.68232 \dots \approx 0

Find one solution for

s^{2} - 0.46557 \dots s + 0.68232 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 1.46557 \dots

x^{3} + 8 x - 16 = 3 x + 2 x^{2} - 6

4 x^{5} + 5 x^{4} - 20 x^{3} - 25 x^{2} + 16 x + 20 = 0

4.19 x^{3} - 402.12 x + 104 = 0

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

2 x^{3} + 2 = 0

What are the solutions to the equation s^3+s^2+1=0 ?
The solutions to the equation s^3+s^2+1=0 are s\approx-1.46557…
Find the zeros of s^3+s^2+1=0
The zeros of s^3+s^2+1=0 are s\approx-1.46557…