What are the solutions to the equation s^4+29s^2+60s+10=0 ?

The solutions to the equation s^4+29s^2+60s+10=0 are s\approx-0.18284…,s\approx-1.69721…

Find the zeros of s^4+29s^2+60s+10=0

The zeros of s^4+29s^2+60s+10=0 are s\approx-0.18284…,s\approx-1.69721…

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s^{4} + 29 s^{2} + 60 s + 10 = 0

s \approx - 0.18284 \dots, s \approx - 1.69721 \dots

Solution steps

s^{4} + 29 s^{2} + 60 s + 10 = 0

Find one solution for

s^{4} + 29 s^{2} + 60 s + 10 = 0

using Newton-Raphson:

s \approx - 0.18284 \dots

Apply long division:

\frac{s ^{4} + 29 s ^{2} + 60 s + 10}{s + 0.18284 \dots} = s^{3} - 0.18284 \dots s^{2} + 29.03343 \dots s + 54.69140 \dots

s^{3} - 0.18284 \dots s^{2} + 29.03343 \dots s + 54.69140 \dots \approx 0

Find one solution for

s^{3} - 0.18284 \dots s^{2} + 29.03343 \dots s + 54.69140 \dots = 0

using Newton-Raphson:

s \approx - 1.69721 \dots

Apply long division:

\frac{s ^{3} - 0.18284 \dots s ^{2} + 29.03343 \dots s + 54.69140 \dots}{s + 1.69721 \dots} = s^{2} - 1.88005 \dots s + 32.22428 \dots

s^{2} - 1.88005 \dots s + 32.22428 \dots \approx 0

Find one solution for

s^{2} - 1.88005 \dots s + 32.22428 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solutions are

s \approx - 0.18284 \dots, s \approx - 1.69721 \dots

(2 x - 1)^{3} + 12 (x - 1) (x + 1) = 14 x - 13

x^{3} + 6 = - 12

4 x^{3} = 12

x^{4} = 50625

4 x^{3} - 20 x - 9 = 0

What are the solutions to the equation s^4+29s^2+60s+10=0 ?
The solutions to the equation s^4+29s^2+60s+10=0 are s\approx-0.18284…,s\approx-1.69721…
Find the zeros of s^4+29s^2+60s+10=0
The zeros of s^4+29s^2+60s+10=0 are s\approx-0.18284…,s\approx-1.69721…