What are the solutions to the equation s^3+9s^2+32s+32=0 ?

The solutions to the equation s^3+9s^2+32s+32=0 are s\approx-1.57668…

Find the zeros of s^3+9s^2+32s+32=0

The zeros of s^3+9s^2+32s+32=0 are s\approx-1.57668…

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s^{3} + 9 s^{2} + 32 s + 32 = 0

s \approx - 1.57668 \dots

Solution steps

s^{3} + 9 s^{2} + 32 s + 32 = 0

Find one solution for

s^{3} + 9 s^{2} + 32 s + 32 = 0

using Newton-Raphson:

s \approx - 1.57668 \dots

Apply long division:

\frac{s ^{3} + 9 s ^{2} + 32 s + 32}{s + 1.57668 \dots} = s^{2} + 7.42331 \dots s + 20.29579 \dots

s^{2} + 7.42331 \dots s + 20.29579 \dots \approx 0

Find one solution for

s^{2} + 7.42331 \dots s + 20.29579 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 1.57668 \dots

(x + 7)^{3} = 0

(s^{2} - 2)^{2} = s^{2}

(x^{3} - 4 x^{2}) - (x - 4) = 0

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

x^{4} + 5.5 \cdot x^{2} + 6 = 0

What are the solutions to the equation s^3+9s^2+32s+32=0 ?
The solutions to the equation s^3+9s^2+32s+32=0 are s\approx-1.57668…
Find the zeros of s^3+9s^2+32s+32=0
The zeros of s^3+9s^2+32s+32=0 are s\approx-1.57668…