What are the solutions to the equation s^3+3.5s^2+1.75s+1.5=0 ?

The solutions to the equation s^3+3.5s^2+1.75s+1.5=0 are s\approx-3.09082…

Find the zeros of s^3+3.5s^2+1.75s+1.5=0

The zeros of s^3+3.5s^2+1.75s+1.5=0 are s\approx-3.09082…

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s^{3} + 3.5 s^{2} + 1.75 s + 1.5 = 0

s \approx - 3.09082 \dots

Solution steps

s^{3} + 3.5 s^{2} + 1.75 s + 1.5 = 0

Multiply both sides by

100

100 s^{3} + 350 s^{2} + 175 s + 150 = 0

Find one solution for

100 s^{3} + 350 s^{2} + 175 s + 150 = 0

using Newton-Raphson:

s \approx - 3.09082 \dots

Apply long division:

\frac{100 s ^{3} + 350 s ^{2} + 175 s + 150}{s + 3.09082 \dots} = 100 s^{2} + 40.91765 \dots s + 48.53075 \dots

100 s^{2} + 40.91765 \dots s + 48.53075 \dots \approx 0

Find one solution for

100 s^{2} + 40.91765 \dots s + 48.53075 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 3.09082 \dots

x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 = 0

x^{4} - 2 x^{3} + 5 x^{2} = 0

- x^{3} + 18 x^{2} - 99 x + 162 = 0

6 x^{5} - 11 x^{4} - 11 x + 6 = 0

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

What are the solutions to the equation s^3+3.5s^2+1.75s+1.5=0 ?
The solutions to the equation s^3+3.5s^2+1.75s+1.5=0 are s\approx-3.09082…
Find the zeros of s^3+3.5s^2+1.75s+1.5=0
The zeros of s^3+3.5s^2+1.75s+1.5=0 are s\approx-3.09082…