What are the solutions to the equation s^4+5s^3+8s^2+3.93s-14=0 ?

The solutions to the equation s^4+5s^3+8s^2+3.93s-14=0 are s\approx 0.89040…,s\approx-3.33137…

Find the zeros of s^4+5s^3+8s^2+3.93s-14=0

The zeros of s^4+5s^3+8s^2+3.93s-14=0 are s\approx 0.89040…,s\approx-3.33137…

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s^{4} + 5 s^{3} + 8 s^{2} + 3.93 s - 14 = 0

s \approx 0.89040 \dots, s \approx - 3.33137 \dots

Solution steps

s^{4} + 5 s^{3} + 8 s^{2} + 3.93 s - 14 = 0

Multiply both sides by

100

100 s^{4} + 500 s^{3} + 800 s^{2} + 393 s - 1400 = 0

Find one solution for

100 s^{4} + 500 s^{3} + 800 s^{2} + 393 s - 1400 = 0

using Newton-Raphson:

s \approx 0.89040 \dots

Apply long division:

\frac{100 s ^{4} + 500 s ^{3} + 800 s ^{2} + 393 s - 1400}{s - 0.89040 \dots} = 100 s^{3} + 589.04024 \dots s^{2} + 1324.48286 \dots s + 1572.32275 \dots

100 s^{3} + 589.04024 \dots s^{2} + 1324.48286 \dots s + 1572.32275 \dots \approx 0

Find one solution for

100 s^{3} + 589.04024 \dots s^{2} + 1324.48286 \dots s + 1572.32275 \dots = 0

using Newton-Raphson:

s \approx - 3.33137 \dots

Apply long division:

\frac{100 s ^{3} + 589.04024 \dots s ^{2} + 1324.48286 \dots s + 1572.32275 \dots}{s + 3.33137 \dots} = 100 s^{2} + 255.90308 \dots s + 471.97459 \dots

100 s^{2} + 255.90308 \dots s + 471.97459 \dots \approx 0

Find one solution for

100 s^{2} + 255.90308 \dots s + 471.97459 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solutions are

s \approx 0.89040 \dots, s \approx - 3.33137 \dots

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

3 = 0.03 t^{3} + 0.05 t^{2}

2418 = 2330 \cdot (1 + r)^{15}

8 m^{3} + 32 m^{2} - 360 m = 0

t, f = (\frac{t}{a})^{3}

What are the solutions to the equation s^4+5s^3+8s^2+3.93s-14=0 ?
The solutions to the equation s^4+5s^3+8s^2+3.93s-14=0 are s\approx 0.89040…,s\approx-3.33137…
Find the zeros of s^4+5s^3+8s^2+3.93s-14=0
The zeros of s^4+5s^3+8s^2+3.93s-14=0 are s\approx 0.89040…,s\approx-3.33137…