What are the solutions to the equation 4s^3+18s^2+32s+16=0 ?

The solutions to the equation 4s^3+18s^2+32s+16=0 are s\approx-0.78834…

Find the zeros of 4s^3+18s^2+32s+16=0

The zeros of 4s^3+18s^2+32s+16=0 are s\approx-0.78834…

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4 s^{3} + 18 s^{2} + 32 s + 16 = 0

s \approx - 0.78834 \dots

Solution steps

4 s^{3} + 18 s^{2} + 32 s + 16 = 0

Find one solution for

4 s^{3} + 18 s^{2} + 32 s + 16 = 0

using Newton-Raphson:

s \approx - 0.78834 \dots

Apply long division:

\frac{4 s ^{3} + 18 s ^{2} + 32 s + 16}{s + 0.78834 \dots} = 4 s^{2} + 14.84663 \dots s + 20.29579 \dots

4 s^{2} + 14.84663 \dots s + 20.29579 \dots \approx 0

Find one solution for

4 s^{2} + 14.84663 \dots s + 20.29579 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 0.78834 \dots

12 x^{3} - 24 x^{2} = 0

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

2 y^{3} + 6 y = 1

5 x - 17 = - x^{7}

x^{3} - 2 x^{2} - 25 x + 50

What are the solutions to the equation 4s^3+18s^2+32s+16=0 ?
The solutions to the equation 4s^3+18s^2+32s+16=0 are s\approx-0.78834…
Find the zeros of 4s^3+18s^2+32s+16=0
The zeros of 4s^3+18s^2+32s+16=0 are s\approx-0.78834…