What are the solutions to the equation s*(s+2)*(s+4)-6=0 ?

The solutions to the equation s*(s+2)*(s+4)-6=0 are s\approx 0.52510…

Find the zeros of s*(s+2)*(s+4)-6=0

The zeros of s*(s+2)*(s+4)-6=0 are s\approx 0.52510…

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s \cdot (s + 2) \cdot (s + 4) - 6 = 0

s \approx 0.52510 \dots

Solution steps

s (s + 2) (s + 4) - 6 = 0

Expand

s (s + 2) (s + 4) - 6 : s^{3} + 6 s^{2} + 8 s - 6

s^{3} + 6 s^{2} + 8 s - 6 = 0

Find one solution for

s^{3} + 6 s^{2} + 8 s - 6 = 0

using Newton-Raphson:

s \approx 0.52510 \dots

Apply long division:

\frac{s ^{3} + 6 s ^{2} + 8 s - 6}{s - 0.52510 \dots} = s^{2} + 6.52510 \dots s + 11.42634 \dots

s^{2} + 6.52510 \dots s + 11.42634 \dots \approx 0

Find one solution for

s^{2} + 6.52510 \dots s + 11.42634 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx 0.52510 \dots

(x - 5)^{3} - x + 5 = 0

(x^{3} + 1)^{3} = 8 (2 x - 1)

2 x^{3} + 5 x^{2} - 25 x = 0

A = (x + 1) (x - 1) (x^{2} + 1) + 1

c^{3} + 9 = 10

What are the solutions to the equation s*(s+2)*(s+4)-6=0 ?
The solutions to the equation s*(s+2)*(s+4)-6=0 are s\approx 0.52510…
Find the zeros of s*(s+2)*(s+4)-6=0
The zeros of s*(s+2)*(s+4)-6=0 are s\approx 0.52510…