What is the inverse of F(s)=2s(s4+24s2+144) ?

The inverse of F(s)=2s(s4+24s2+144) is (-288+sqrt(82944+416s))/(208),(-288-sqrt(82944+416s))/(208)

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inverse of F(s)=2s(s4+24s2+144)

inverse

F (s) = 2 s (s 4 + 24 s 2 + 144)

\frac{- 288 + 82944 + 416 s}{208}, \frac{- 288 - 82944 + 416 s}{208}

Solution steps

y = 2 s (s \cdot 4 + 24 s \cdot 2 + 144)

Replace

s

with

y

s = 2 y (y \cdot 4 + 24 y \cdot 2 + 144)

Solve for

y, s = 2 y (y 4 + 24 y 2 + 144)

\frac{- 288 + 82944 + 416 s}{208}, \frac{- 288 - 82944 + 416 s}{208}

What is the inverse of F(s)=2s(s4+24s2+144) ?
The inverse of F(s)=2s(s4+24s2+144) is (-288+sqrt(82944+416s))/(208),(-288-sqrt(82944+416s))/(208)