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

The solutions to the equation s^3+3s^2+2s+3=0 are s\approx-2.67169…

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

The zeros of s^3+3s^2+2s+3=0 are s\approx-2.67169…

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

s \approx - 2.67169 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

s \approx - 2.67169 \dots

Apply long division:

\frac{s ^{3} + 3 s ^{2} + 2 s + 3}{s + 2.67169 \dots} = s^{2} + 0.32830 \dots s + 1.12288 \dots

s^{2} + 0.32830 \dots s + 1.12288 \dots \approx 0

Find one solution for

s^{2} + 0.32830 \dots s + 1.12288 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 2.67169 \dots

- 9 x^{4} + 68 x^{2} - 612 = 0

r^{4} + 8 r^{3} + 7 r^{2} - 72 r - 144 = 0

27 x^{5} + 8 x^{2} = 0

49 - x^{5} = 17

x (x + 5) = (x^{2} + 5 x)^{2}

What are the solutions to the equation s^3+3s^2+2s+3=0 ?
The solutions to the equation s^3+3s^2+2s+3=0 are s\approx-2.67169…
Find the zeros of s^3+3s^2+2s+3=0
The zeros of s^3+3s^2+2s+3=0 are s\approx-2.67169…