What are the solutions to the equation 4s^3+36s^2+128s+128=0 ?

The solutions to the equation 4s^3+36s^2+128s+128=0 are s\approx-1.57668…

Find the zeros of 4s^3+36s^2+128s+128=0

The zeros of 4s^3+36s^2+128s+128=0 are s\approx-1.57668…

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4 s^{3} + 36 s^{2} + 128 s + 128 = 0

s \approx - 1.57668 \dots

Solution steps

4 s^{3} + 36 s^{2} + 128 s + 128 = 0

Find one solution for

4 s^{3} + 36 s^{2} + 128 s + 128 = 0

using Newton-Raphson:

s \approx - 1.57668 \dots

Apply long division:

\frac{4 s ^{3} + 36 s ^{2} + 128 s + 128}{s + 1.57668 \dots} = 4 s^{2} + 29.69327 \dots s + 81.18316 \dots

4 s^{2} + 29.69327 \dots s + 81.18316 \dots \approx 0

Find one solution for

4 s^{2} + 29.69327 \dots s + 81.18316 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 1.57668 \dots

20 x + 8 x^{2} - x^{3} = 0

- 10 x - (9 x + 6) = 3 + x^{3} + x

x^{4} = 20736

x^{3} + x^{2} - 36 x - 36 = 0

x^{3} - 11 x^{2} + 38 x - 44 = 0

What are the solutions to the equation 4s^3+36s^2+128s+128=0 ?
The solutions to the equation 4s^3+36s^2+128s+128=0 are s\approx-1.57668…
Find the zeros of 4s^3+36s^2+128s+128=0
The zeros of 4s^3+36s^2+128s+128=0 are s\approx-1.57668…