What are the solutions to the equation s^5+5s^3+9s^2+7s+2=0 ?

The solutions to the equation s^5+5s^3+9s^2+7s+2=0 are s\approx-0.54535…

Find the zeros of s^5+5s^3+9s^2+7s+2=0

The zeros of s^5+5s^3+9s^2+7s+2=0 are s\approx-0.54535…

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s^{5} + 5 s^{3} + 9 s^{2} + 7 s + 2 = 0

s \approx - 0.54535 \dots

Solution steps

s^{5} + 5 s^{3} + 9 s^{2} + 7 s + 2 = 0

Find one solution for

s^{5} + 5 s^{3} + 9 s^{2} + 7 s + 2 = 0

using Newton-Raphson:

s \approx - 0.54535 \dots

Apply long division:

\frac{s ^{5} + 5 s ^{3} + 9 s ^{2} + 7 s + 2}{s + 0.54535 \dots} = s^{4} - 0.54535 \dots s^{3} + 5.29741 \dots s^{2} + 6.11100 \dots s + 3.66730 \dots

s^{4} - 0.54535 \dots s^{3} + 5.29741 \dots s^{2} + 6.11100 \dots s + 3.66730 \dots \approx 0

Find one solution for

s^{4} - 0.54535 \dots s^{3} + 5.29741 \dots s^{2} + 6.11100 \dots s + 3.66730 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 0.54535 \dots

2 x^{3} + x - 18 = 0

x^{4} (x - 4)^{3} = 0

x^{4} - 3 x^{3} - x^{2} - x + 4 = 0

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

125 t^{4} - 180 t^{3} - 270 t^{2} + 250 = 0

What are the solutions to the equation s^5+5s^3+9s^2+7s+2=0 ?
The solutions to the equation s^5+5s^3+9s^2+7s+2=0 are s\approx-0.54535…
Find the zeros of s^5+5s^3+9s^2+7s+2=0
The zeros of s^5+5s^3+9s^2+7s+2=0 are s\approx-0.54535…