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

The solutions to the equation s^3+2s^2+1=0 are s\approx-2.20556…

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

The zeros of s^3+2s^2+1=0 are s\approx-2.20556…

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

s \approx - 2.20556 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

s \approx - 2.20556 \dots

Apply long division:

\frac{s ^{3} + 2 s ^{2} + 1}{s + 2.20556 \dots} = s^{2} - 0.20556 \dots s + 0.45339 \dots

s^{2} - 0.20556 \dots s + 0.45339 \dots \approx 0

Find one solution for

s^{2} - 0.20556 \dots s + 0.45339 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 2.20556 \dots

x^{6} - 7 x^{3} - 8 = 0

6 m^{4} - 15 m^{2} = 9

(x^{2} + 1) (x - 1) = 0

x^{4} + 8 x^{3} + 3 x - 12 = 0

x^{5} - 2 = 30

What are the solutions to the equation s^3+2s^2+1=0 ?
The solutions to the equation s^3+2s^2+1=0 are s\approx-2.20556…
Find the zeros of s^3+2s^2+1=0
The zeros of s^3+2s^2+1=0 are s\approx-2.20556…