What are the solutions to the equation s^3+6s^2+5s+10=0 ?

The solutions to the equation s^3+6s^2+5s+10=0 are s\approx-5.41780…

Find the zeros of s^3+6s^2+5s+10=0

The zeros of s^3+6s^2+5s+10=0 are s\approx-5.41780…

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s^{3} + 6 s^{2} + 5 s + 10 = 0

s \approx - 5.41780 \dots

Solution steps

s^{3} + 6 s^{2} + 5 s + 10 = 0

Find one solution for

s^{3} + 6 s^{2} + 5 s + 10 = 0

using Newton-Raphson:

s \approx - 5.41780 \dots

Apply long division:

\frac{s ^{3} + 6 s ^{2} + 5 s + 10}{s + 5.41780 \dots} = s^{2} + 0.58219 \dots s + 1.84576 \dots

s^{2} + 0.58219 \dots s + 1.84576 \dots \approx 0

Find one solution for

s^{2} + 0.58219 \dots s + 1.84576 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 5.41780 \dots

x^{3} + 5 x^{2} + 9 x + 5 = 0

- x^{3} + 5 x^{2} - 8 x + 4

x^{3} + 3 x^{2} - 4 x - 12 = 0

x^{3} - \frac{5}{6} x^{2} + \frac{35}{6} x + 1 = 0

6 x^{5} - 4 x^{3} = - 1

What are the solutions to the equation s^3+6s^2+5s+10=0 ?
The solutions to the equation s^3+6s^2+5s+10=0 are s\approx-5.41780…
Find the zeros of s^3+6s^2+5s+10=0
The zeros of s^3+6s^2+5s+10=0 are s\approx-5.41780…